Show Your Workings and Leave in Simplest Form Where Appropriate

Fractions Workout

Show your workings and leave in simplest form where appropriate

Equivalent Fractions - Fill in the missing number to make the fractions the same

2 2 3 7 1. = 4. = 7. = 10. = 3 12 5 45 5 50 12 48 4 3 5 2. = 5. = 8. = 5 30 7 35 6 24 1 4 5 3. = 6. = 9. = 3 18 7 21 6 42

Simplifying Fractions - Simplify these:

10 12 14 66 1. 4. 7. 10. 30 36 35 121 8 15 6 2. 5. 8. 24 25 33 9 15 18 3. 6. 9. 24 40 27

Multiplying Fractions - Multiply these:

1 2 2 4 15 4 3 4 1. 4. 7. 10. 4 5 3 5 17 5 8 15 1 5 2 6 10 3 2. 5. 8. 7 6 3 7 21 4 1 9 3 8 7 5 3. 6. 9. 12 11 4 11 12 11

Top Heavy Fractions to Mixed numbers – Change these to mixed numbers

21 33 23 95 1. 4. 7. 10. 9 4 8 12 11 22 59 2. 5. 8. 3 5 8 7 30 65 3. 6. 9. 4 7 6 Dividing Fractions - Divide these:

2 5 3 4 5 10 9 39 1. 4. 7. 10. 3 7 10 25 10 16 10 40 4 8 5 2 8 12 2. 5. 8. 7 11 6 5 15 25 3 2 8 3 8 2 3. 6. 9. 4 9 9 8 9 3

Mixed Numbers to Top Heavy Fractions – Change these to top heavy fractions

3 2 5 5 1. 1 4. 6 7. 8 10. 9 4 7 6 8 1 3 1 2. 2 5. 4 8. 7 3 5 4 2 9 1 3. 2 6. 2 9. 51 3 10 2

Fractions of – Find the fractions of these amounts

1 3 4 7 1. of 20 4. of 20 7. of 21 10. of 108 4 4 7 9 1 2 5 2. of 32 5. of 12 8. of 56 8 3 8 1 4 3 3. of 56 6. of 30 9. of 96 7 5 8

Fractions to Percentages – Change these fractions into the equivalent percentages

3 13 17 69 1. 4. 7. 10. 4 20 25 75 7 7 22 2. 5. 8. 10 25 40 21 3 42 3. 6. 9. 50 5 60

Adding & Subtracting Fractions – Add, or subtract, these fractions

2 3 11 4 11 5 5 1 1.  4.  7.  10.  7 7 15 15 12 12 8 6 7 9 5 3 3 1 9 11 2.  5.  8.  11.  20 20 7 7 8 4 20 25 5 3 13 7 11 1 8 7 3.  6.  9.  12.  8 8 20 10 12 4 9 12 Fractions Workout - Answers

Show your workings and leave in simplest form where appropriate

Equivalent Fractions - Fill in the missing number to make the fractions the same

2 2 3 7 1. = 8 4. = 18 7. = 30 10. = 28 3 12 5 45 5 50 12 48 4 3 5 2. = 24 5. = 15 8. = 20 5 30 7 35 6 24 1 4 5 3. = 6 6. = 12 9. = 35 3 18 7 21 6 42

Simplifying Fractions - Simplify these:

10 1 12 1 14 2 66 6 1. = 4. = 7. = 10. = 30 3 36 3 35 5 121 11 8 1 15 3 6 2 2. = 5. = 8. = 24 3 25 5 33 11 9 3 15 3 18 2 3. = 6. = 9. = 24 8 40 8 27 3

Multiplying Fractions - Multiply these:

1 2 1 2 4 8 15 4 12 3 4 1 1. = 4. = 7. = 10. = 4 5 10 3 5 15 17 5 17 8 15 10 1 5 5 2 6 4 10 3 5 2. = 5. = 8. = 7 6 42 3 7 7 21 4 14 1 9 3 3 8 6 7 5 35 3. = 6. = 9. = 12 11 44 4 11 11 12 11 132

Top Heavy Fractions to Mixed numbers – Change these to mixed numbers

21 1 33 1 23 7 95 11 1. = 2 4. =8 7. = 2 10. =7 9 3 4 4 8 8 12 12 11 2 22 2 59 3 2. =3 5. = 4 8. = 7 3 3 5 5 8 8 7 3 30 2 65 5 3. =1 6. = 4 9. =10 4 4 7 7 6 6 Dividing Fractions - Divide these:

2 5 14 3 4 7 5 10 4 9 39 12 1. = 4. =1 7. = 10. = 3 7 15 10 25 8 10 16 5 10 40 13 4 8 11 5 2 1 8 12 1 2. = 5. = 2 8. =1 7 11 14 6 5 12 15 25 9 3 2 3 8 3 10 8 2 1 3. =3 6. = 2 9. =1 4 9 8 9 8 27 9 3 3

Mixed Numbers to Top Heavy Fractions – Change these to top heavy fractions

3 7 2 44 5 53 5 77 1. 1 = 4. 6 = 7. 8 = 10. 9 = 4 4 7 7 6 6 8 8 1 7 3 23 1 29 2. 2 = 5. 4 = 8. 7 = 3 3 5 5 4 4 2 8 9 29 1 103 3. 2 = 6. 2 = 9. 51 = 3 3 10 10 2 2

Fractions of – Find the fractions of these amounts

1 3 4 7 1. of 20 5 4. of 20 15 7. of 2112 10. of 10884 4 4 7 9 1 2 5 2. of 32 4 5. of 12 8 8. of 56 35 8 3 8 1 4 3 3. of 568 6. of 30 24 9. of 96 36 7 5 8

Fractions to Percentages – Change these fractions into the equivalent percentages

3 13 17 69 1. =75% 4. =65% 7. =68% 10. =92% 4 20 25 75 7 7 22 2. =70% 5. =28% 8. =55% 10 25 40 21 3 42 3. =42% 6. =60% 9. =70% 50 5 60

Adding & Subtracting Fractions – Add, or subtract, these fractions

2 3 5 11 4 7 11 5 1 5 1 19 1.  = 4.  = 7.  = 10.  = 7 7 7 15 15 15 12 12 2 8 6 24 7 9 4 5 3 1 3 1 5 9 11 89 2.  = 5.  =1 8.  = 11.  20 20 5 7 7 7 8 4 8 20 25 100 5 3 1 13 7 7 11 1 2 8 7 11 3.  = 6.  1 9.  = 12.  8 8 4 20 10 20 12 4 3 9 12 36