Skills VIII Exercise Book Topics: Fractions: operations Mixed numbers Division and multipliction of fractions Conversion of fractions into percents Percentages of numbers
This workbook is made for grade 5 and 6 students or for those who need remedial practice or more challenging materials. This workbook covers: - Adding and subtracting fractions with denominators that are not multiples of each other - Division and Mixed Numbers - Division of fractions - Multiplication of fractions by whole numbers - Multiplication of fractions by fractions - Division of fractions by fractions - Converting fractions into percents -Percents of numbers This booklet is excellent practice material for students of any ability level. It can be used as remedial learning and teaching material or as math content for those who need to be challenged more. Copyright: Math in English
Addition and Subtraction of fractions Calculate and show your answers in the lowest terms 1 + 1 = 1 + 1 = 6 4 3 2 2 + 1 = 1 + 1 = 4 3 5 6 1 + 1 = 1 + 2 = 6 10 3 10 2 + 1 = 1 + 1 = 1 + 4 = 3 5 2 9 3 10 1 + 4 = 1 + 1 = 1 + 5 = 3 8 2 5 4 10 3 + 2 = 1 + 1 = 1 + 2 = 6 10 3 8 2 7 3 + 1 = 3 + 1 = 3 + 3 = 5 6 6 15 8 6 2 + 2 = 1 + 2 = 1 + 3 = 7 4 4 3 8 7 2 + 4 = 4 + 0 = 1 + 1 = 10 15 7 9 6 9 3 + 1 = 5 + 1 = 1 + 3 = 10 4 6 8 5 20 Copyright: Math in English Page 1
Addition and Subtraction of fractions Calculate and show your answers in the lowest terms 2 + 1 = 1 + 1 = 6 4 3 7 1 + 1 = 1 + 1 = 4 2 5 3 3 + 1 = 1 + 2 = 6 10 3 12 2 + 1 = 1 + 1 = 1 + 4 = 7 5 2 7 3 10 1 + 3 = 1 + 1 = 1 + 5 = 3 6 2 6 3 14 2 + 2 = 1 + 1 = 1 + 2 = 6 10 5 8 2 5 1 + 1 = 3 + 1 = 3 + 3 = 5 6 6 14 8 7 4 + 1 = 1 + 2 = 1 + 3 = 7 4 5 4 5 7 1 + 4 = 3 + 0 = 1 + 1 = 10 15 8 9 4 9 3 + 1 = 5 + 1 = 1 + 3 = 10 4 6 8 5 20 Copyright: Math in English Page 2
Addition and Subtraction of fractions Calculate and show your answers in the lowest terms 1 - 1 = 1 - 1 = 4 6 2 3 2 - 1 = 1 - 1 = 4 3 5 6 1 - 1 = 1 - 2 = 6 10 3 10 2 - 1 = 1 - 1 = 2 - 4 = 3 5 2 9 3 10 2 - 4 = 1 - 1 = 3 - 5 = 3 8 2 5 4 10 3 - 2 = 1 - 1 = 1 - 2 = 6 10 3 8 2 7 3 - 1 = 3 - 1 = 3 - 2 = 5 6 6 15 8 6 4 - 2 = 3 - 2 = 4 - 3 = 7 4 4 3 8 7 4 - 4 = 4 - 0 = 1 - 1 = 10 15 7 9 6 9 3 - 1 = 5 - 1 = 1 - 3 = 10 4 6 8 5 20 Copyright: Math in English Page 3
Addition and Subtraction of fractions Calculate and show your answers in the lowest terms 2 - 1 = 1 - 1 = 4 6 2 4 3 - 1 = 2 - 1 = 4 3 5 6 2 - 1 = 2 - 2 = 6 10 3 10 1 - 1 = 1 - 1 = 1 - 1 = 3 5 2 8 3 10 2 - 1 = 1 - 1 = 3 - 1 = 3 8 2 3 4 10 2 - 2 = 1 - 1 = 1 - 1 = 6 10 3 7 2 7 2 - 1 = 4 - 1 = 5 - 2 = 5 6 6 15 8 6 2 - 1 = 2 - 2 = 4 - 3 = 7 4 4 8 7 8 5 - 4 = 6 - 0 = 2 - 1 = 10 15 9 9 6 9 4 - 1 = 4 - 1 = 2 - 3 = 10 4 6 8 5 20 Copyright: Math in English Page 4
Addition of Mixed Numbers Calculate and show your answers in the lowest terms 2 1 + 1 3 = 3 3 + 2 1 = 2 5 4 7 1 3 + 1 4 = 4 4 + 1 1 = 4 6 5 3 5 3 + 1 1 = 1 1 + 1 2 = 7 6 8 9 3 1 + 1 2 = 5 1 + 1 1 = 3 2 + 2 6 = 8 6 9 6 4 9 3 4 + 2 1 = 3 1 + 1 5 = 2 1 + 6 5 = 5 6 4 6 4 6 4 2 + 1 1 = 1 3 + 4 2 = 7 1 + 1 6 = 4 6 4 6 4 7 4 2 + 1 1 = 4 1 + 4 5 = 2 7 + 4 1 = 3 2 3 6 8 6 2 1 + 3 3 = 3 2 + 2 5 = 3 1 + 2 1 = 3 4 4 6 5 2 2 1 + 2 4 = 1 1 + 1 8 = 5 3 + 1 2 = 2 6 8 9 4 6 Copyright: Math in English Page 5
Division and Mixed Numbers Divide and express your answers in mixed numbers 5 ÷ 4= 10 ÷ 4 = 10 ÷ 7 = 8 ÷ 5= 12 ÷ 5 = 22 ÷ 9 = 7 ÷ 3= 7 ÷ 5= 43 ÷ 9 = 6 ÷ 4= 11 ÷ 6 = 15 ÷ 8 = 3 ÷ 2= 13 ÷ 4 = 21 ÷ 6 = 15 ÷ 4 = 7 ÷ 2= 11 ÷ 5 = 23 ÷ 5 = 9 ÷ 4= 12 ÷ 7 = 17 ÷ 4 = 35 ÷ 8 = 13 ÷ 2 = Copyright: Math in English Page 6
Division and Mixed Numbers Divide and express your answers in mixed numbers 5 ÷ 3= 13 ÷ 4 = 10 ÷ 7 = 6 ÷ 5= 16 ÷ 5 = 19 ÷ 9 = 7 ÷ 6= 9 ÷ 5= 46 ÷ 9 = 9 ÷ 4= 13 ÷ 6 = 13 ÷ 8 = 7 ÷ 2= 17 ÷ 4 = 20 ÷ 6 = 11 ÷ 4 = 9 ÷ 2= 12 ÷ 5 = 21 ÷ 5 = 6 ÷ 4= 16 ÷ 7 = 19 ÷ 4 = 31 ÷ 8 = 11 ÷ 2 = Copyright: Math in English Page 7
Division and Mixed Numbers Divide and express your answers in mixed numbers 5 ÷ 2 =2 10 ÷ 9 = 10 ÷ 8 = 8 ÷ 7 =1 12 ÷ 7 = 22 ÷ 7 = 7 ÷ 6 =1 7 ÷ 3= 41 ÷ 9 = 9 ÷ 4 =2 17 ÷ 6 = 13 ÷ 8 = 7 ÷ 4 =1 19 ÷ 4 = 21 ÷ 6 = 18 ÷ 4 = 2 7 ÷ 5= 17 ÷ 5 = 23 ÷ 9 = 2 9 ÷ 8= 12 ÷ 9 = 1 17 ÷ 8 = 35 ÷ 9 = 3 13 ÷ 8 = Copyright: Math in English Page 8
Dividing Fractions Divide and express your answers in the lowest possible terms 1 ÷ 4= 4 ÷ 3= 4 6 2 ÷ 5= 1 ÷ 4= 3 2 3 ÷ 6= 2 ÷ 3= 1 ÷ 7= 3 9 9 1 ÷ 4= 3 ÷ 8= 5 ÷ 6= 5 5 6 1 ÷ 3= 1 ÷ 6= 1 ÷ 8= 3 7 6 1 ÷ 2= 1 ÷ 2= 4 ÷ 4= 5 3 9 5 ÷ 9= 9 ÷ 5= 3 ÷ 2= 8 2 5 2 ÷ 6= 4 ÷ 4= 3 ÷ 4= 3 5 4 6 ÷ 2= 1 ÷ 3= 5 ÷ 3= 7 9 3 Copyright: Math in English Page 9
Dividing Fractions Divide and express your answers in the lowest possible terms 1 ÷ 4= 4 ÷ 3= 3 5 2 ÷ 5= 1 ÷ 4= 4 3 3 ÷ 4= 2 ÷ 4= 1 ÷ 7= 3 7 8 1 ÷ 5= 2 ÷ 8= 5 ÷ 5= 5 6 6 1 ÷ 3= 2 ÷ 5= 1 ÷ 8= 2 7 6 1 ÷ 3= 1 ÷ 9= 4 ÷ 3= 5 5 9 3 ÷ 9= 3 ÷ 4= 4 ÷ 2= 8 2 5 1 ÷ 6= 4 ÷ 3= 3 ÷ 4= 3 5 4 2 ÷ 2= 1 ÷ 8= 5 ÷ 4= 7 9 4 Copyright: Math in English Page 10
Multiplying Fractions Multiply and express your answers in mixed numbers 1 x 4= 2 x 8= 3 5 2 x 5= 2 x 9= 4 7 1 x 9= 1 x 7= 1 x 9= 7 3 2 2 x 4= 1 x 5= 1 x 8= 5 4 3 4 x 4= 1 x 5= 1 x 5= 3 2 3 2 x 11 = 1 x 8= 5 x 4= 3 6 3 1 x 9= 1 x 9= 3 x 4= 5 7 8 2 x 4= 1 x 9= 1 x 24 = 7 6 5 1 x 39 = 6 x 4= 4 x 4= 4 7 5 Copyright: Math in English Page 11
Multiplying Fractions Multiply and express your answers in mixed numbers 1 x 5= 2 x 7= 3 4 2 x 5= 2 x 7= 3 6 1 x 9= 1 x 7= 1 x 8= 5 6 2 2 x 4= 1 x 6= 1 x 7= 3 4 3 5 x 4= 1 x 7= 2 x 5= 3 2 3 2 x 10 = 1 x 9= 5 x 3= 3 6 3 1 x 8= 1 x 9= 3 x 4= 5 6 8 2 x 5= 2 x 9= 1 x 24 = 7 6 6 1 x 31 = 4 x 4= 3 x 4= 4 7 5 Copyright: Math in English Page 12
Multiplying Fractions Multiply and express your answers in the lowest terms 1 x 1 = 1 x 1 = 3 3 2 3 2 x 2 = 2 x 3 = 4 4 9 7 3 x 1 = 1 x 6 = 7 6 7 7 1 x 1 = 1 x 4 = 2 x 2 = 2 2 5 6 7 7 1 x 4 = 4 x 2 = 4 x 1 = 5 2 3 3 3 3 2 x 2 = 1 x 2 = 1 x 2 = 3 3 3 6 3 8 1 x 5 = 1 x 3 = 3 x 3 = 3 6 7 5 5 4 2 x 5 = 5 x 2 = 2 x 2 = 7 7 6 3 6 3 1 x 3 = 2 x 1 = 1 x 6 = 4 5 3 3 4 8 Copyright: Math in English Page 13
Multiplying Fractions Multiply and express your answers in the lowest terms 1 x 1 = 1 x 1 = 4 3 8 3 2 x 2 = 2 x 3 = 5 4 5 7 3 x 1 = 2 x 6 = 4 4 7 6 1 x 1 = 1 x 4 = 1 x 2 = 3 2 8 6 7 7 1 x 4 = 4 x 2 = 4 x 1 = 9 2 7 3 3 3 2 x 2 = 1 x 2 = 1 x 3 = 5 3 7 6 3 8 1 x 5 = 1 x 3 = 2 x 3 = 4 6 4 5 5 4 2 x 5 = 5 x 2 = 1 x 2 = 6 7 6 3 6 3 1 x 3 = 2 x 2 = 3 x 6 = 3 5 3 3 4 8 Copyright: Math in English Page 14
Dividing Fractions Divide and express your answers in mixed numbers and the lowest terms 1 ÷ 1 = 1 ÷ 1 = 3 4 2 3 2 ÷ 1 = 2 ÷ 3 = 4 5 9 7 3 ÷ 1 = 6 ÷ 1 = 7 6 7 4 1 ÷ 1 = 1 ÷ 1 = 5 ÷ 1 = 2 7 5 6 7 9 4 ÷ 1 = 4 ÷ 1 = 1 ÷ 1 = 5 2 5 3 2 9 2 ÷ 2 = 1 ÷ 1 = 1 ÷ 1 = 7 8 3 7 3 8 2 ÷ 2 = 5 ÷ 1 = 3 ÷ 1 = 3 5 7 5 5 4 5 ÷ 2 = 2 ÷ 2 = 2 ÷ 1 = 7 7 6 3 6 8 3 ÷ 3 = 2 ÷ 1 = 1 ÷ 1 = 4 5 3 7 4 9 Copyright: Math in English Page 15
Dividing Fractions Divide and express your answers in mixed numbers and the lowest terms 1 ÷ 1 = 1 ÷ 1 = 5 4 3 3 1 ÷ 1 = 1 ÷ 3 = 4 5 9 7 2 ÷ 1 = 6 ÷ 1 = 7 6 8 4 1 ÷ 1 = 1 ÷ 4 = 5 ÷ 1 = 3 7 4 6 7 9 3 ÷ 1 = 4 ÷ 1 = 1 ÷ 1 = 5 2 6 3 7 9 1 ÷ 2 = 1 ÷ 1 = 1 ÷ 1 = 7 8 2 7 4 8 1 ÷ 2 = 1 ÷ 1 = 3 ÷ 1 = 3 5 7 5 5 4 1 ÷ 2 = 2 ÷ 2 = 2 ÷ 1 = 7 7 9 3 6 8 2 ÷ 3 = 2 ÷ 1 = 1 ÷ 1 = 4 5 5 7 3 9 Copyright: Math in English Page 16
Fractions and Percents Convert the following fractions into percents (round off to the nearest hundredth) 1 = % 4 = % 3 6 1 = % 2 = % 6 7 2 = % 1 = % 3 9 3 = % 1 = % 7 8 1 = % 2 = % 3 = % 11 13 14 5 = % 1 = % 1 = % 9 3 7 6 = % 1 = % 4 = % 8 2 3 6 = % 4 = % 2 = % 7 5 6 9 = % 8 = % 5 = % 9 7 8 9 = % 8 = % 3 = % 3 2 17 1 = % 1 = % 1 = % 25 50 75 Copyright: Math in English Page 17
Fractions and Percents Convert the following fractions into percents (round off to the nearest hundredth) 3 = % 4 = % 7 3 1 = % 2 = % 8 11 2 = % 1 = % 9 3 3 = % 1 = % 6 7 1 = % 2 = % 3 = % 13 15 19 5 = % 7 = % 7 = % 8 2 7 6 = % 6 = % 4 = % 7 2 9 6 = 150 % 7 = % 4 = % 4 3 5 5 = % 3 = % 3 = % 9 7 8 2 = % 5 = % 4 = % 3 2 17 9 = % 3 = % 9 = % 25 50 75 Copyright: Math in English Page 18
Percentage of numbers Calculate the following percentages 75% of 150 = 30% of 180 = 25% of 170 = 20% of 160 = 15% of 150 = 50% of 145 = 45% of 200 = 10% of 198 = 60% of 450 = 73% of 250 = 40% of 325 = 60% of 400 = 50% of 153 = 75% of 500 = 25% of 190 = 65% of 150 = 88% of 150 = 75% of 270 = 50% of 110 = 95% of 160 = 23% of 200 = 65% of 320 = 35% of 170 = 40% of 100 = 33% of 150 = 90% of 250 = 47% of 250 = Copyright: Math in English Page 19
Percentage of numbers Calculate the following percentages 25% of 150 = 40% of 180 = 15% of 170 = 10% of 160 = 35% of 150 = 60% of 145 = 42% of 200 = 50% of 198 = 61% of 450 = 72% of 250 = 48% of 325 = 90% of 400 = 60% of 153 = 15% of 500 = 65% of 190 = 75% of 150 = 18% of 150 = 25% of 270 = 80% of 110 = 95% of 160 = 33% of 200 = 15% of 320 = 75% of 170 = 30% of 100 = 37% of 150 = 92% of 250 = 49% of 250 = Copyright: Math in English Page 20
Addition and Subtraction of fractions Addition and Subtraction of fractions Calculate and show your answers in the lowest terms Calculate and show your answers in the lowest terms 1 + 1 = 5 1 + 1 = 5 2 + 1 = 7 1 + 1 = 10 6 4 12 3 2 6 6 4 12 3 7 21 2 + 1 = 5 1 + 1 = 11 1 + 1 = 3 1 + 1 = 8 4 3 6 5 6 30 4 2 4 5 3 15 1 + 1 = 4 1 + 2 = 8 3 + 1 = 6 1 + 2 = 1 6 10 15 3 10 15 6 10 10 3 12 2 2 + 1 = 13 1 + 1 = 11 1 + 4 = 11 2 + 1 = 17 1 + 1 = 9 1 + 4 = 11 3 5 15 2 9 18 3 10 15 7 5 35 2 7 14 3 10 15 1 + 4 = 5 1 + 1 = 7 1 + 5 = 3 1 + 3 = 5 1 + 1 = 2 1 + 5 = 29 3 8 6 2 5 10 4 10 4 3 6 6 2 6 3 3 14 42 3 + 2 = 7 1 + 1 = 11 1 + 2 = 11 2 + 2 = 8 1 + 1 = 13 1 + 2 = 9 6 10 10 3 8 24 2 7 14 6 10 15 5 8 40 2 5 10 3 + 1 = 23 3 + 1 = 17 3 + 3 = 7 1 + 1 = 11 3 + 1 = 12 3 + 3 = 45 5 6 30 6 15 30 8 6 8 5 6 30 6 14 21 8 7 56 2 + 2 = 11 1 + 2 = 11 1 + 3 = 31 4 + 1 = 23 1 + 2 = 7 1 + 3 = 22 7 4 14 4 3 12 8 7 56 7 4 28 5 4 10 5 7 35 2 + 4 = 7 4 + 0 = 4 1 + 1 = 5 1 + 4 = 11 3 + 0 = 3 1 + 1 = 13 10 15 15 7 9 7 6 9 18 10 15 30 8 9 8 4 9 36 3 + 1 = 11 5 + 1 = 23 1 + 3 = 7 3 + 1 = 11 5 + 1 = 23 1 + 3 = 7 10 4 20 6 8 24 5 20 20 10 4 20 6 8 24 5 20 20 Copyright: Math in English Page 1 Copyright: Math in English Page 2 Addition and Subtraction of fractions Addition and Subtraction of fractions Calculate and show your answers in the lowest terms Calculate and show your answers in the lowest terms 1 - 1 = 1 1 - 1 = 1 2 - 1 = 1 1 - 1 = 1 4 6 12 2 3 6 4 6 3 2 4 4 2 - 1 = 1 1 - 1 = 1 3 - 1 = 5 2 - 1 = 7 4 3 6 5 6 30 4 3 12 5 6 30 1 - 1 = 1 1 - 2 = 2 2 - 1 = 7 2 - 2 = 7 6 10 15 3 10 15 6 10 30 3 10 15 2 - 1 = 7 1 - 1 = 7 2 - 4 = 4 1 - 1 = 2 1 - 1 = 3 1 - 1 = 7 3 5 15 2 9 18 3 10 15 3 5 15 2 8 8 3 10 30 2 - 4 = 1 1 - 1 = 3 3 - 5 = 1 2 - 1 = 13 1 - 1 = 1 3 - 1 = 13 3 8 6 2 5 10 4 10 4 3 8 24 2 3 6 4 10 20 3 - 2 = 3 1 - 1 = 5 1 - 2 = 3 2 - 2 = 2 1 - 1 = 4 1 - 1 = 6 6 10 10 3 8 24 2 7 14 6 10 15 3 7 21 2 7 14 3 - 1 = 13 3 - 1 = 13 3 - 2 = 1 2 - 1 = 13 4 - 1 = 3 5 - 2 = 7 5 6 30 6 15 30 8 6 24 5 6 30 6 15 5 8 6 24 4 - 2 = 1 3 - 2 = 1 4 - 3 = 1 2 - 1 = 1 2 - 2 = 1 4 - 3 = 11 7 4 14 4 3 12 8 7 14 7 4 14 4 8 4 7 8 56 4 - 4 = 2 4 - 0 = 4 1 - 1 = 1 5 - 4 = 2 6 - 0 = 6 2 - 1 = 2 10 15 15 7 9 7 6 9 18 10 15 15 9 9 9 6 9 9 3 - 1 = 1 5 - 1 = 17 1 - 3 = 1 4 - 1 = 3 4 - 1 = 13 2 - 3 = 1 10 4 20 6 8 24 5 20 20 10 4 20 6 8 24 5 20 4 Copyright: Math in English Page 3 Copyright: Math in English Page 4
Addition of Mixed Numbers Division and Mixed Numbers Calculate and show your answers in the lowest terms Divide and express your answers in mixed numbers 2 1 + 1 3 = 4110 3 3 + 2 1 = 5 25 5 ÷ 4 = 1 1 10 ÷ 4 = 2 1 2 5 4 7 28 4 2 1 3 + 1 4 = 3152 4 4 + 1 1 = 6 2 8 ÷ 5 = 1 3 12 ÷ 5 = 2 2 4 6 5 3 15 5 5 5 3 + 1 1 = 6 25 1 1 + 1 2 = 2 25 7 ÷ 3 = 2 1 7 ÷ 5 = 1 2 7 6 42 8 9 72 3 5 3 1 + 1 2 = 4 11 5 1 + 1 1 = 6 5 3 2 + 2 6 = 6 1 6 ÷ 4 = 1 1 11 ÷ 6 = 1 5 10 ÷ 7 = 1 3 8 6 24 9 6 18 4 9 6 2 6 7 3 4 + 2 1 = 5 29 3 1 + 1 5 = 5 1 2 1 + 6 5 = 9 1 3 ÷ 2 = 1 1 13 ÷ 4 = 3 1 22 ÷ 9 = 2 4 5 6 30 4 6 12 4 6 12 2 4 9 4 2 + 1 1 = 5 2 1 3 + 4 2 = 6 1 7 1 + 1 6 = 9 3 15 ÷ 4 = 3 3 7 ÷ 2 = 3 1 43 ÷ 9 = 4 7 4 6 3 4 6 12 4 7 28 4 2 9 4 2 + 1 1 = 6 1 4 1 + 4 5 = 9 1 2 7 + 4 1 = 7 1 23 ÷ 5 = 4 3 9 ÷ 4 = 2 1 15 ÷ 8 = 1 7 3 2 6 3 6 6 8 6 24 5 4 8 2 1 + 3 3 = 6112 3 2 + 2 5 = 6 1 3 1 + 2 1 = 5 7 12 ÷ 7 = 1 5 17 ÷ 4 = 4 1 21 ÷ 6 = 3 1 3 4 4 6 3 5 2 10 7 4 2 2 1 + 2 4 = 5 1 1 1 + 1 8 = 3 1 5 3 + 1 2 = 7 1 35 ÷ 8 = 4 3 13 ÷ 2 = 6 1 11 ÷ 5 = 2 1 2 6 6 8 9 72 4 6 12 8 2 5 Copyright: Math in English Page 5 Copyright: Math in English Page 6 Division and Mixed Numbers Division and Mixed Numbers Divide and express your answers in mixed numbers Divide and express your answers in mixed numbers 5 ÷ 3 = 1 2 13 ÷ 4 = 3 1 5 ÷ 2 = 2 1 10 ÷ 9 = 1 1 3 4 2 9 6 ÷ 5 = 1 1 16 ÷ 5 = 3 1 8 ÷ 7 = 1 1 12 ÷ 7 = 1 5 5 5 7 7 7 ÷ 6 = 1 1 9 ÷ 5 = 1 4 7 ÷ 6 = 1 1 7 ÷ 3 = 2 1 6 5 6 3 9 ÷ 4 = 2 1 13 ÷ 6 = 2 1 10 ÷ 7 = 1 3 9 ÷ 4 = 2 1 17 ÷ 6 = 2 5 10 ÷ 8 = 1 1 4 6 7 4 6 4 7 ÷ 2 = 3 1 17 ÷ 4 = 4 1 19 ÷ 9 = 2 1 7 ÷ 4 = 1 3 19 ÷ 4 = 4 3 22 ÷ 7 = 3 1 2 4 9 4 4 7 11 ÷ 4 = 2 3 9 ÷ 2 = 4 1 46 ÷ 9 = 5 1 18 ÷ 4 = 2 1 7 ÷ 5 = 1 2 41 ÷ 9 = 4 5 4 2 9 2 5 9 21 ÷ 5 = 4 1 6 ÷ 4 = 1 1 13 ÷ 8 = 1 5 23 ÷ 9 = 2 5 9 ÷ 8 = 1 1 13 ÷ 8 = 1 5 5 2 8 9 8 8 16 ÷ 7 = 2 2 19 ÷ 4 = 4 1 20 ÷ 6 = 3 1 12 ÷ 9 = 1 1 17 ÷ 8 = 2 1 21 ÷ 6 = 3 1 7 4 3 3 8 2 31 ÷ 8 = 3 7 11 ÷ 2 = 5 1 12 ÷ 5 = 2 2 35 ÷ 9 = 3 8 13 ÷ 8 = 1 5 17 ÷ 5 = 3 2 8 2 5 9 8 5 Copyright: Math in English Page 7 Copyright: Math in English Page 8
Division and Mixed Numbers Dividing Fractions Divide and express your answers in the lowest possible terms Divide and express your answers in the lowest possible terms 1 ÷ 4 = 1 4 ÷ 3= 2 1 ÷ 4 = 1 4 ÷ 3 = 4 4 16 6 9 3 12 5 15 2 ÷ 5 = 2 1 ÷ 4= 1 2 ÷ 5 = 1 1 ÷ 4 = 1 3 15 2 8 4 10 3 12 3 ÷ 6= 1 2 ÷ 3 = 2 1 ÷ 7 = 1 3 ÷ 4= 1 2 ÷ 4 = 1 1 ÷ 7 = 1 3 6 9 27 9 63 3 4 7 14 8 56 1 ÷ 4 = 1 3 ÷ 8 = 3 5 ÷ 6 = 5 1 ÷ 5 = 1 2 ÷ 8 = 1 5 ÷ 5= 1 5 20 5 40 6 36 5 25 6 24 6 6 1 ÷ 3= 1 1 ÷ 6 = 1 1 ÷ 8 = 1 1 ÷ 3= 1 2 ÷ 5 = 2 1 ÷ 8 = 1 3 9 7 42 6 48 2 6 7 35 6 48 1 ÷ 2 = 1 1 ÷ 2= 1 4 ÷ 4= 1 1 ÷ 3 = 1 1 ÷ 9 = 1 4 ÷ 3 = 4 5 10 3 6 9 9 5 15 5 45 9 27 5 ÷ 9 = 5 9 ÷ 5 = 9 3 ÷ 2 = 3 3 ÷ 9 = 1 3 ÷ 4= 3 4 ÷ 2 = 4 8 72 2 10 5 10 8 24 2 8 5 10 2 ÷ 6= 1 4 ÷ 4= 1 3 ÷ 4 = 3 1 ÷ 6 = 1 4 ÷ 3 = 4 3 ÷ 4 = 3 3 9 5 5 4 16 3 18 5 15 4 16 6 ÷ 2= 3 1 ÷ 3 = 1 5 ÷ 3= 5 2 ÷ 2= 1 1 ÷ 8 = 1 5 ÷ 4 = 5 7 7 9 27 3 9 7 7 9 72 4 16 Copyright: Math in English Page 7 Copyright: Math in English Page 10 Multiplying Fractions Multiplying Fractions Multiply and express your answers in mixed numbers Multiply and express your answers in mixed numbers 1 x 4= 1 1 2 x 8 = 3 1 1 x 5 = 1 2 2 x 7= 3 1 3 3 5 5 3 3 4 2 2 x 5= 2 1 2 x 9 = 2 4 2 x 5 = 3 1 2 x 7= 2 1 4 2 7 7 3 3 6 3 1 x 9= 1 2 1 x 7 = 2 1 1 x 9 = 4 1 1 x 9 = 1 4 1 x 7= 1 1 1 x 8= 4 7 7 3 3 2 2 5 5 6 6 2 2 x 4= 1 3 1 x 5 = 1 1 1 x 8 = 2 2 2 x 4 = 2 2 1 x 6= 1 1 1 x 7 = 2 1 5 5 4 4 3 3 3 3 4 2 3 3 4 x 4= 5 1 1 x 5 = 2 1 1 x 5 = 1 2 5 x 4 = 6 2 1 x 7= 3 1 2 x 5 = 3 1 3 3 2 2 3 3 3 3 2 2 3 3 2 x 11 = 7 1 1 x 8 = 1 1 5 x 4 = 6 2 2 x 10 = 6 2 1 x 9= 1 1 5 x 3= 5 3 3 6 3 3 3 3 3 6 2 3 1 x 9= 1 4 1 x 9 = 1 2 3 x 4 = 1 1 1 x 8 = 1 3 1 x 9= 1 1 3 x 4 = 1 1 5 5 7 7 8 2 5 5 6 2 8 2 2 x 4= 1 1 1 x 9 = 1 1 1 x 24 = 4 4 2 x 5 = 1 3 2 x 9= 3 1 x 24 = 4 7 7 6 2 5 5 7 7 6 6 1 x 39 = 9 3 6 x 4 = 3 3 4 x 4 = 3 1 1 x 31 = 7 3 4 x 4= 2 2 3 x 4 = 2 2 4 4 7 7 5 5 4 4 7 7 5 5 Copyright: Math in English Page 11 Copyright: Math in English Page 12
Multiplying Fractions Multiplying Fractions Multiply and express your answers in the lowest terms Multiply and express your answers in the lowest terms 1 x 1 = 1 1 x 1 = 1 1 x 1 = 1 1 x 1 = 1 3 3 9 2 3 6 4 3 12 8 3 24 2 x 2 = 1 2 x 3 = 2 2 x 2 = 1 2 x 3 = 6 4 4 4 9 7 21 5 4 10 5 7 35 3 x 1 = 1 1 x 6 = 6 3 x 1 = 3 2 x 6 = 2 7 6 14 7 7 49 4 4 12 7 6 7 1 x 1 = 1 1 x 4 = 2 2 x 2 = 4 1 x 1 = 1 1 x 4 = 1 1 x 2 = 2 2 2 4 5 6 15 7 7 49 3 2 6 8 6 12 7 7 49 1 x 4 = 2 4 x 2 = 8 4 x 1 = 4 1 x 4 = 2 4 x 2 = 8 4 x 1 = 4 5 2 5 3 3 9 3 3 9 9 2 9 7 3 21 3 3 9 2 x 2 = 4 1 x 2 = 1 1 x 2 = 1 2 x 2 = 4 1 x 2 = 1 1 x 3 = 1 3 3 9 3 6 9 3 8 12 5 3 15 7 6 21 3 8 8 1 x 5 = 5 1 x 3 = 3 3 x 3 = 9 1 x 5 = 5 1 x 3 = 3 2 x 3 = 3 3 6 18 7 5 35 5 4 20 4 6 24 4 5 20 5 4 10 2 x 5 = 10 5 x 2 = 5 2 x 2 = 2 2 x 5 = 5 5 x 2 = 5 1 x 2 = 1 7 7 49 6 3 9 6 3 9 6 7 21 6 3 9 6 3 9 1 x 3 = 3 2 x 1 = 2 1 x 6 = 3 1 x 3 = 1 2 x 2 = 4 3 x 6 = 9 4 5 20 3 3 9 4 8 16 3 5 5 3 3 9 4 8 16 Copyright: Math in English Page 13 Copyright: Math in English Page 13 Dividing Fractions Dividing Fractions Divide and express your answers in mixed numbers and the lowest terms Divide and express your answers in mixed numbers and the lowest terms 1 ÷ 1 = 1 1 1 ÷ 1 = 1 1 1 ÷ 1 = 4 1 ÷ 1 = 1 3 4 3 2 3 2 5 4 5 3 3 2 ÷ 1 = 2 1 2 ÷ 3 = 14 1 ÷ 1 = 1 1 1 ÷ 3 = 7 4 5 2 9 7 27 4 5 4 9 7 27 3 ÷ 1 = 2 4 6 ÷ 1 = 3 3 2 ÷ 1 = 1 5 6 ÷ 1 = 3 7 6 7 7 4 7 7 6 7 8 4 1 ÷ 1 = 3 1 1 ÷ 1 = 1 1 5 ÷ 1 = 6 3 1 ÷ 1 = 2 1 1 ÷ 4 = 3 5 ÷ 1 = 6 3 2 7 2 5 6 5 7 9 7 3 7 3 4 6 8 7 9 7 4 ÷ 1 = 1 3 4 ÷ 1 = 2 2 1 ÷ 1 = 4 1 3 ÷ 1 = 1 1 4 ÷ 1 = 2 1 ÷ 1 = 1 2 5 2 5 5 3 5 2 9 2 5 2 5 6 3 7 9 7 2 ÷ 2 = 1 1 1 ÷ 1 = 2 1 1 ÷ 1 = 2 2 1 ÷ 2 = 4 1 ÷ 1 = 3 1 1 ÷ 1 = 2 7 8 7 3 7 3 3 8 3 7 8 7 2 7 2 4 8 2 ÷ 2 = 1 2 5 ÷ 1 = 3 4 3 ÷ 1 = 2 2 1 ÷ 2 = 1 1 1 ÷ 1 = 5 3 ÷ 1 = 2 2 3 5 3 7 5 7 5 4 5 3 5 6 7 5 7 5 4 5 5 ÷ 2 = 2 1 2 ÷ 2 = 1 2 ÷ 1 = 2 2 1 ÷ 2 = 1 2 ÷ 2 = 1 2 ÷ 1 = 2 2 7 7 2 6 3 2 6 8 3 7 7 2 9 3 3 6 8 3 3 ÷ 3 = 1 1 2 ÷ 1 = 4 2 1 ÷ 1 = 2 1 2 ÷ 3 = 5 2 ÷ 1 = 2 4 1 ÷ 1 = 3 4 5 4 3 7 3 4 9 4 4 5 6 5 7 5 3 9 Copyright: Math in English Page 15 Copyright: Math in English Page 16
Fractions and Percents Fractions and Percents Convert the following fractions into percents (round off to the nearest hundredth) Convert the following fractions into percents (round off to the nearest hundredth) 1 = 33.33 % 4 = 66.67 % 3 = 42.86 % 4 = 133.33% 3 6 7 3 1 = 16.67 % 2 = 28.57 % 1 = 12.5 % 2 = 18.18 % 6 7 8 11 2 = 66.67 % 1 = 11.11 % 2 = 22.22 % 1 = 33.33 % 3 9 9 3 3 = 42.86 % 1 = 12.5 % 3 = 50 % 1 = 14.29 % 7 8 6 7 1 = 9.09 % 2 = 15.38 % 3 = 21.43 % 1 = 7.69 % 2 = 13.33 % 3 = 15.79 % 11 13 14 13 15 19 5 = 55.56 % 1 = 33.33 % 1 = 14.29 % 5 = 62.5 % 7 = 350 % 7 = 100 % 9 3 7 8 2 7 6 = 75 % 1 = 50 % 4 = 133.33% 6 = 85.71 % 6 = 300 % 4 = 44.44 % 8 2 3 7 2 9 6 = 85.71 % 4 = 80 % 2 = 33.33 % 6 = 150 % 7 = 233.33% 4 = 80 % 7 5 6 4 3 5 9 = 100 % 8 = 114.29 % 5 = 62.5 % 5 = 55.56 % 3 = 42.86 % 3 = 37.5 % 9 7 8 9 7 8 9 = 300 % 8 = 400 % 3 = 17.65 % 2 = 66.67 % 5 = 250 % 4 = 23.53 % 3 2 17 3 2 17 1 = 4% 1 = 2% 1 = 1.33 % 9 = 36 % 3 = 6% 9 = 12 % 25 50 75 25 50 75 Copyright: Math in English Page 17 Copyright: Math in English Page 18 Percentage of numbers Percentage of numbers Calculate the following percentages Calculate the following percentages 75% of 150 = 112.5 30% of 180 = 54 25% of 150 = 37.5 40% of 180 = 72 25% of 170 = 42.5 20% of 160 = 32 15% of 170 = 25.5 10% of 160 = 16 15% of 150 = 22.5 50% of 145 = 72.5 35% of 150 = 52.5 60% of 145 = 87 45% of 200 = 90 10% of 198 = 19.8 60% of 450 = 270 42% of 200 = 84 50% of 198 = 99 61% of 450 = 274.5 73% of 250 = 182.5 72% of 250 = 180 40% of 325 = 130 60% of 400 = 240 50% of 153 = 76.50 48% of 325 = 156 90% of 400 = 360 60% of 153 = 91.8 75% of 500 = 375 15% of 500 = 75 25% of 190 = 47.5 65% of 150 = 97.5 88% of 150 = 132 65% of 190 = 123.5 75% of 150 = 112.5 18% of 150 = 27 75% of 270 = 202.5 25% of 270 = 67.5 50% of 110 = 55 95% of 160 = 152 23% of 200 = 46 80% of 110 = 88 95% of 160 = 152 33% of 200 = 66 65% of 320 = 208 35% of 170 = 59.5 15% of 320 = 48 75% of 170 = 38.25 40% of 100 = 40 33% of 150 = 49.5 30% of 100 = 30 37% of 150 = 55.5 90% of 250 = 225 47% of 250 = 117.5 92% of 250 = 230 49% of 250 = 122.5 Copyright: Math in English Page 19 Copyright: Math in English Page 20
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