Chapter 10 Fractions - II Concept 10.1: Add and Subtract Mixed Fractions Recall Multiple Choice Questions 1) A fraction whose numerator is _____________ than the denominator is called an improper fraction. [] (A) equal (B) smaller (C) greater (D) both (A) and (B) 2) A fraction whose denominator is greater than the numerator is called ________ [] fraction. (A) an improper (B) a proper (C) a mixed (D) both (A) and (B) 3) The combination of a whole number and a fraction is called _____________ [] fraction. (A) a mixed (B) a proper (C) an improper (D) both (A) and (B) & Remembering and Understanding Multiple Choice Questions 4) The improper fraction form of 2 1 is _________________. [ ] 3 ] (A) 1 (B) 7 (C) 2 (D) 6 ] 3 3 3 3 5) To add two mixed fractions, we convert them to _______ fractions. [ (A) improper (B) proper (C) mixed (D) both (A) and (B) 6) 6 1 when expressed as an improper fraction is equal to _________________. [ 2 (A) 6 (B) 141 (C) 13 (D) 5 12 2 2 NR_BGM_9789386663573 MAPLE G05 MATHS WORKBOOK TERM 2_Text.pdf 51 49 1/10/2019 10:08:58 AM
Fill in the Blanks 7) The improper fraction form of 4 1 is ________. 3 8) The improper fraction form of 134 is _______. 9) The mixed fraction form of 9 is ________. 2 Very Short Answer Questions 10) Solve: 141 + 2 1 4 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. 11) Solve: 2 2 −191 9 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. 12) Solve: 181 + 2 2 8 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. Short Answer Questions 13) Solve: 2 3 −141 7 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 50 NR_BGM_9789386663573 MAPLE G05 MATHS WORKBOOK TERM 2_Text.pdf 52 1/10/2019 10:08:58 AM
14) Solve: 2 1 − 123 6 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Long Answer Questions 15) Solve: a) 3 1 − 129 b) 2 1 −173 5 4 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Fractions - II 51 NR_BGM_9789386663573 MAPLE G05 MATHS WORKBOOK TERM 2_Text.pdf 53 1/10/2019 10:08:58 AM
16) Solve: a) 2 1 + 3 1 b) 3 3 + 2 5 5 10 4 8 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Application Short Answer Questions 17) Sneha’s travelling bag weighs 6 5 kg and her sports kit bag weighs 2 1 kg. How much 6 6 more does her travelling bag weigh? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 52 NR_BGM_9789386663573 MAPLE G05 MATHS WORKBOOK TERM 2_Text.pdf 54 1/10/2019 10:08:58 AM
18) Anu cut 1 m of a cloth for a shirt and 2 2 m of the cloth for a skirt. How much cloth did 4 3 she cut in all? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Long Answer Questions 19) In Shimla, it snowed 2 1 inches in the afternoon and 8 1 inches at night. What was the 3 3 30 total amount of snowfall? If it snowed 3 inches the day before, how much more did it snow on that day? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Fractions - II 53 NR_BGM_9789386663573 MAPLE G05 MATHS WORKBOOK TERM 2_Text.pdf 55 1/10/2019 10:08:58 AM
20) While recording the stock at his pastry shop, Raj realises that he had 9 5 boxes of baking powder on Saturday and 6 1 8 2 boxes on Sunday. How much more baking powder did Raj have on Saturday than on Sunday? What is the total number of boxes Raj had before Saturday? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Higher Order Thinking Skills (H.O.T.S.) Short Answer Question 21) By how much is 22 2 greater than 18 1 ? 6 4 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. 54 NR_BGM_9789386663573 MAPLE G05 MATHS WORKBOOK TERM 2_Text.pdf 56 1/10/2019 10:08:58 AM
................................................................................. ................................................................................. Long Answer Question 22) Sheela cut a rope into two pieces. The first piece was 33 1 inches long. The second 4 1 piece was 17 3 inches long. How long was the rope before Sheela cut it? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Concept 10.2: Multiply Fractions Recall Multiple Choice Questions 1) A fraction is said to be in its lowest terms if its numerator and denominator do not have any common factor other than ___________________. [] (A) 1 (B) 2 (C) 3 (D) 4 2) A fraction can be reduced to its lowest terms using H.C.F. or _______________. [] (A) multiplication (B) addition (C) division (D) subtraction Fractions - II 55 NR_BGM_9789386663573 MAPLE G05 MATHS WORKBOOK TERM 2_Text.pdf 57 1/10/2019 10:08:58 AM
3) 7 can be reduced to its lowest terms as ______________________. [] 49 (A) 49 (B) 1 (C) 7 (D) 1 7 49 1 7 & Remembering and Understanding Multiple Choice Questions 4) 1 ×18 = _______ [] 63 (A) 4 (B) 3 (C) 2 (D) 1 5) 1 × 25 = _______ [] 53 [] (A) 5 (B) 3 (C) 5 (D) 15 3 5 15 5 6) 7 × 5 = _______ 5 21 (A) 1 (B) 1 (C) 1 (D) 1 5 3 7 21 Fill in the Blanks 7) 41 × 4 = _______ 8) A whole number is a fraction with denominator ____________. 9) Before multiplying mixed numbers, we convert them into _____________________ fractions. Very Short Answer Questions 10) Find the product: 2 × 4 35 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11) Find the product: 3×2 51 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 12) Find 3 of 30. Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 56 NR_BGM_9789386663573 MAPLE G05 MATHS WORKBOOK TERM 2_Text.pdf 58 1/10/2019 10:08:58 AM
Short Answer Questions 13) Solve: a) 45 × 4 b) 10 × 5 5 8 21 7 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. 14) Solve: a) 6 × 9 b) 15 × 12 54 2 48 5 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. Long Answer Questions 15) Solve: a) 55 × 4 b) 38 × 4 c) 24 × 4 d) 10 × 90 22 35 24 19 50 10 3 30 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Fractions - II 57 NR_BGM_9789386663573 MAPLE G05 MATHS WORKBOOK TERM 2_Text.pdf 59 1/10/2019 10:08:58 AM
16) Find the products: a) 35 × 9 b) 44 × 21 c) 55 × 55 d) 17 × 14 10 21 22 27 8 11 78 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Application Short Answer Questions 17) Mansingh had 1 of a large pizza. He gave 2 of his share to his sister. How much of the 2 5 whole pizza did Mansingh's sister get? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. 18) During a picnic, Teena's team received 2 of the total food. The food was further divided 7 among the team members and Teena received 2 of her team's share. What fraction of 9 the total food did Teena get? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. 58 NR_BGM_9789386663573 MAPLE G05 MATHS WORKBOOK TERM 2_Text.pdf 60 1/10/2019 10:08:58 AM
................................................................................. Long Answer Questions 19) Ashi is supposed to paint 6 of her room and Bhavana is supposed to paint 7 of the 13 13 4 same room. At the end of the day, Bhavana was able to finish 7 of her work and Ashi could finish 5 of her work. Who painted more and by how much? 6 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 43 20) a) At Franklin High School, 5 of the students play an instrument, out of which 4 play a stringed instrument. What fraction of the students play stringed instrument? b) Shubhro had some mangoes. He gave 1 of the mangoes to Vaishnavi. Vaishnavi 5 2 gave 3 of her share to Pooja. What is Pooja's share of mangoes? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Fractions - II 59 NR_BGM_9789386663573 MAPLE G05 MATHS WORKBOOK TERM 2_Text.pdf 61 1/10/2019 10:08:58 AM
................................................................................. ................................................................................. ................................................................................. ................................................................................. . .H. i.g. .h.e. r. .O. .r.d.e. .r.T.h.i.n.k. .in. .g. .S.k.i.ll.s. .(.H...O. ..T...S...). . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Short Answer Question 21) Multiply: a) 4 , 8 , 9 b) 3 , 7 ,133 ,133 8 9 8 4 4 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. Long Answer Question 22) Multiply the following: a) 5 , 9 , 7 b) 6 , 4 , 6 , 7 c) 3 , 7 , 2 , 3 d) 4 , 3 , 5 9 7 9 5 5 7 6 4 4 3 2 3 5 3 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 60 1/10/2019 10:08:58 AM NR_BGM_9789386663573 MAPLE G05 MATHS WORKBOOK TERM 2_Text.pdf 62
................................................................................. ................................................................................. ................................................................................. ................................................................................. Concept 10.3: Reciprocals of Fractions Recall Multiple Choice Questions 1) If 9 × 4 = 36, then 36 ÷ 9 is __________________. [ ] ] (A) 1 (B) 36 (C) 9 (D) 4 ] 2) If 63 ÷ 9 = 7, then 9 × 7 is __________________. [ (A) 13 (B) 63 (C) 9 (D) 7 3) Multiplication and _____________________ are inverse operations. [ (A) division (B) addition (C) subtraction (D) both (A) and (B) & Remembering and Understanding Multiple Choice Questions 4) The only number that does not have a multiplicative inverse is __________________. [ ] ] (A) 0 (B) 1 (C) 3 (D) 2 ] 5) The reciprocal of 1 is __________________. [ (A) 2 (B) 0 (C) 3 (D) 1 6) The reciprocal of a mixed fraction is ______________ fraction. [ (A) an improper (B) a proper (C) a mixed (D) both (A) and (B) Fill in the Blanks 7) The reciprocal of a proper fraction is a(n) ______________________ fraction. 8) Fractions are reduced to their lowest terms before finding their ______________________. Fractions - II 61 NR_BGM_9789386663573 MAPLE G05 MATHS WORKBOOK TERM 2_Text.pdf 63 1/10/2019 10:08:58 AM
9) The reciprocal of 6 is __________. 7 Very Short Answer Questions 10) Find the reciprocal of the fraction 1 . 7 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11) Find the reciprocal of the fraction 5 . 14 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12) Find the multiplicative inverse of 3. Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Short Answer Questions 31 13) Find the reciprocals of: a) 4 b) 1 6 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 29 14) Find the reciprocals of: a) 2 7 b) 8 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 62 NR_BGM_9789386663573 MAPLE G05 MATHS WORKBOOK TERM 2_Text.pdf 64 1/10/2019 10:08:58 AM
Long Answer Questions 15) Find the multiplicative inverses of: a) 4 1 b) 3 2 c) 24 1 d) 6 4 9 7 3 5 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 16) Write the multiplicative inverses of: a) 4 b) 2 c) 46 5 d) 0 26 36 8 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Fractions - II 63 NR_BGM_9789386663573 MAPLE G05 MATHS WORKBOOK TERM 2_Text.pdf 65 1/10/2019 10:08:59 AM
................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Application Short Answer Questions 17) Solve: 1 ÷ 2 7 9 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 18) Solve: 5 ÷ 7 6 8 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 64 1/10/2019 10:08:59 AM NR_BGM_9789386663573 MAPLE G05 MATHS WORKBOOK TERM 2_Text.pdf 66
Long Answer Questions 19) Shyam had 7 litres of water. He poured it equally into 3 glasses. How many litres of water 2 is there in each glass? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 7 20) A book shelf is 42 inches long. Each book on the shelf is 6 inches wide. How many books will fit on the shelf? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Higher Order Thinking Skills (H.O.T.S.) Short Answer Question 21) If 6 chocolates are broken into quarters, how many chocolate pieces do we get? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. Fractions - II 65 NR_BGM_9789386663573 MAPLE G05 MATHS WORKBOOK TERM 2_Text.pdf 67 1/10/2019 10:08:59 AM
................................................................................. ................................................................................. ................................................................................. ................................................................................. Long Answer Question 22) a) R eena took 5 bread slices from a packet of 30 bread slices. She cut each of them into two equal pieces. What is the fraction of 4 such pieces of the whole packet? b) T here is 15 litres of milk in a can. Raj poured it equally into 5 glasses. What is the 25 quantity of milk in each glass? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 66 1/10/2019 10:08:59 AM NR_BGM_9789386663573 MAPLE G05 MATHS WORKBOOK TERM 2_Text.pdf 68
Practice Questions 1) Add the following mixed fractions. a) 8 1 + 6 5 b) 4 8 + 7 4 c) 3 5 and 8 5 98 15 9 13 13 2) Add the following: a) 5 and 5 3 b) 10 7 and 17 c) 114 and 74 78 9 19 15 75 3) Add the following mixed fractions. a) 13 + 12 and 5 1 b) 5 4 + 5 2 and 4 c) 1 and 3 2 + 1 3 55 3 75 35 6 11 22 4) Subtract the following mixed fractions. a) 7 1 from 10 1 b) 5 1 from 5 7 c) 5 23 from 115 9 18 6 12 30 6 5) Subtract 1 from the following mixed fractions. d) 512 a) 2 1 b) 2 7 c) 1 1 13 19 111 101 d) 5 1 6) Subtract 5 1 from the following mixed fractions. 4 4 a) 6 1 b) 3 2 c) 5 1 9 23 2 7) Multiply the following fractions. a) 5 × 8 b) 9 × 6 c) 20 × 2 d) 3 × 5 7 11 19 7 21 5 7 12 8) Multiply the following fractions. a) 9 × 12 b) 11 × 11 c) 15 × 3 d) 10 × 5 17 13 5 61 9) Multiply the following mixed fractions. a) 2 1 and 11 b) 7 1 and 2 1 c) 12 and 3 5 95 62 36 Fractions - II 67 NR_BGM_9789386663573 MAPLE G05 MATHS WORKBOOK TERM 2_Text.pdf 69 1/10/2019 10:08:59 AM
10) Multiply the following fractions. Find the missing numerator/denominator. a) 15 × 4 ] = [ ] b) [] × 6 ] = 42 9 [ 72 12 [ 84 [ ] × 2 = 34 d) 3 × [ ] = 24 c) [ ] 5 65 7 [ ] 49 11) Find the reciprocal of the following fractions. a) 10 b) 22 c) 8 d) 7 1 19 3 2 12) Multiply the following fractions. a) 1 and reciprocal of 1 9 18 b) reciprocal of 7 1 and 7 62 c) reciprocal of 5 2 and reciprocal of 9 5 36 12) Add the following fractions. a) 7 and reciprocal of 3 98 b) reciprocal of 3 1 and 7 4 13 c) reciprocal of 2 and reciprocal of 5 3 11 13) Subtract the following fractions from their reciprocals. a) 1 b) 2 c) 7 d) 1 2 7 11 4 14) Find the value of: a) 2 1 of 11 b) 12 of 7 c) 2 of 11 d) 13 of 11 98 11 3 13 143 15) Solve the following fractions. c) 5 ÷ 1 d) 49 ÷ 7 7 17 9 a) 4 1 ÷ 6 1 b) 24 ÷ 6 98 11 68 1/10/2019 10:08:59 AM NR_BGM_9789386663573 MAPLE G05 MATHS WORKBOOK TERM 2_Text.pdf 70
16) Solve the following fractions. Find the missing numerator/denominator. a) 5 ÷ 10 = 30 b) [ ] ÷ 6 = 42 c) [ ] 2 = 15 d) 3 [ ] = 24 9 [] 90 5 7 30 [ ]÷ 5 24 7 ÷[ ] 49 17) Find the multiplicative inverse of the following fractions. a) 19 b) 2019 c) 101 d) 9 2 17 2018 3 18) Solve the following: a) 7 ÷ reciprocal of 3 98 b) reciprocal of 3 1 ÷ 7 4 13 c) reciprocal of 2 ÷ multiplicative inverse of 5 3 11 d) 6 ÷ multiplicative inverse of 6 11 11 19) Raju painted 5 2 of a classroom and Raheem painted 6 1 of the same room. What 32 part of the room did they paint together? 20) 3 1 of a bucket is filled with water. 7 3 of the same bucket is empty. Find the total 44 capacity of the bucket in litres. 21) Maya’s family consumed 12 1 kg rice from a 25 kg bag. How many kilograms of rice 2 remain in the bag? 22) Swetha’s mother wanted to tie a rope between two poles. The distance between the poles is 211 metres. She needs 3 more metres for tying it around the poles. She has 44 a rope that measures 13 1 metres. By how many metres is the rope shorter than the 2 required length? 23) A carpenter needs 13 metres of wood to make a leg for a table. If each table has 4 4 legs, what is the total length of the wood needed to make legs for 5 tables? Fractions - II 69 NR_BGM_9789386663573 MAPLE G05 MATHS WORKBOOK TERM 2_Text.pdf 71 1/10/2019 10:08:59 AM
24) Nupur’s mother needs 7 1 litres of water for every 3 3 kg of flour to prepare cattle feed 24 for their buffaloes. How many litres of water does she need for 15 kg of flour? 25) A farmer bought 15 water pipes. Each pipe is 12 1 ft long. Find the total length if all the 4 pipes are connected together. 26) Maya is preparing a project for the summative assessment. She has a ribbon that is 300 cm long. She needs two short pieces, one which is 15 1 cm and the other is 2 8 1 cm. If she cuts 12 pieces of each type from the ribbon, what part of the ribbon is 4 left? 27) Four students are playing a game. The first student tells a fraction to the second one. The second student will add 1 to the reciprocal of the fraction and tells the result to the third. The third student repeats the process carried out by the second student and tells the result to the fourth one. What result will the fourth student get, if the first one’s fraction is 3 ? 5 28) A milkman wants to pour 25 1 litres milk into bottles. If the capacity of each bottle is 2 11 litres, how many bottles will he need? 2 29) The cost of 1 kg potatoes is 36 1 rupees. What is the cost of 15 1 kg potatoes? 22 30) There are 225 students in a hostel. They consume 67 1 litres of milk every day. What 2 quantity of the milk does each student consume? 70 1/10/2019 10:08:59 AM NR_BGM_9789386663573 MAPLE G05 MATHS WORKBOOK TERM 2_Text.pdf 72
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