Step-by-step Maths Level 5: Fractions of lengths and amounts

Method. Divide by the bottom number to find one part, then multiply by the top number.

1. Find one 6th of 66. Share 66 into 6 equal parts.
   66 ÷ 6 = 11
2. Take 5 of those parts. The top number tells us how many parts.
   5 × 11 = 55
3. Write the answer. Keep the unit from the question.
   55 cm

Check. Check: 11 × 6 = 66, and 5 parts is 55.

Watch out. Divide first, then multiply. Do not multiply by the bottom number.

Method. Divide by the bottom number to find one part, then multiply by the top number.

1. Find one 8th of 80. Share 80 into 8 equal parts.
   80 ÷ 8 = 10
2. Take 6 of those parts. The top number tells us how many parts.
   6 × 10 = 60
3. Write the answer. Keep the unit from the question.
   60 sweets

Check. Check: 10 × 8 = 80, and 6 parts is 60.

Watch out. Divide first, then multiply. Do not multiply by the bottom number.

Method. Divide by the bottom number to find one part, then multiply by the top number.

1. Find one 5th of 10. Share 10 into 5 equal parts.
   10 ÷ 5 = 2
2. Take 4 of those parts. The top number tells us how many parts.
   4 × 2 = 8
3. Write the answer. Keep the unit from the question.
   8 sweets

Check. Check: 2 × 5 = 10, and 4 parts is 8.

Watch out. Divide first, then multiply. Do not multiply by the bottom number.

Method. Divide by the bottom number to find one part, then multiply by the top number.

1. Find one 8th of 80. Share 80 into 8 equal parts.
   80 ÷ 8 = 10
2. Take 4 of those parts. The top number tells us how many parts.
   4 × 10 = 40
3. Write the answer. Keep the unit from the question.
   40 sweets

Check. Check: 10 × 8 = 80, and 4 parts is 40.

Watch out. Divide first, then multiply. Do not multiply by the bottom number.

Method. Divide by the bottom number to find one part, then multiply by the top number.

1. Find one 5th of 35. Share 35 into 5 equal parts.
   35 ÷ 5 = 7
2. Take 1 of those parts. The top number tells us how many parts.
   1 × 7 = 7
3. Write the answer. Keep the unit from the question.
   7 sweets

Check. Check: 7 × 5 = 35, and 1 parts is 7.

Watch out. Divide first, then multiply. Do not multiply by the bottom number.

Method. Divide by the bottom number to find one part, then multiply by the top number.

1. Find one 4th of 44. Share 44 into 4 equal parts.
   44 ÷ 4 = 11
2. Take 3 of those parts. The top number tells us how many parts.
   3 × 11 = 33
3. Write the answer. Keep the unit from the question.
   33 sweets

Check. Check: 11 × 4 = 44, and 3 parts is 33.

Watch out. Divide first, then multiply. Do not multiply by the bottom number.

Method. Divide by the bottom number to find one part, then multiply by the top number.

1. Find one 6th of 30. Share 30 into 6 equal parts.
   30 ÷ 6 = 5
2. Take 2 of those parts. The top number tells us how many parts.
   2 × 5 = 10
3. Write the answer. Keep the unit from the question.
   10 cm

Check. Check: 5 × 6 = 30, and 2 parts is 10.

Watch out. Divide first, then multiply. Do not multiply by the bottom number.

Method. Divide by the bottom number to find one part, then multiply by the top number.

1. Find one 10th of 50. Share 50 into 10 equal parts.
   50 ÷ 10 = 5
2. Take 8 of those parts. The top number tells us how many parts.
   8 × 5 = 40
3. Write the answer. Keep the unit from the question.
   40 sweets

Check. Check: 5 × 10 = 50, and 8 parts is 40.

Watch out. Divide first, then multiply. Do not multiply by the bottom number.

Method. Divide by the bottom number to find one part, then multiply by the top number.

1. Find one 10th of 20. Share 20 into 10 equal parts.
   20 ÷ 10 = 2
2. Take 1 of those parts. The top number tells us how many parts.
   1 × 2 = 2
3. Write the answer. Keep the unit from the question.
   2 sweets

Check. Check: 2 × 10 = 20, and 1 parts is 2.

Watch out. Divide first, then multiply. Do not multiply by the bottom number.

Method. Divide by the bottom number to find one part, then multiply by the top number.

1. Find one 10th of 30. Share 30 into 10 equal parts.
   30 ÷ 10 = 3
2. Take 3 of those parts. The top number tells us how many parts.
   3 × 3 = 9
3. Write the answer. Keep the unit from the question.
   9 cm

Check. Check: 3 × 10 = 30, and 3 parts is 9.

Watch out. Divide first, then multiply. Do not multiply by the bottom number.

Method. Divide by the bottom number to find one part, then multiply by the top number.

1. Find one 8th of 16. Share 16 into 8 equal parts.
   16 ÷ 8 = 2
2. Take 3 of those parts. The top number tells us how many parts.
   3 × 2 = 6
3. Write the answer. Keep the unit from the question.
   6 sweets

Check. Check: 2 × 8 = 16, and 3 parts is 6.

Watch out. Divide first, then multiply. Do not multiply by the bottom number.

Method. Divide by the bottom number to find one part, then multiply by the top number.

1. Find one 6th of 36. Share 36 into 6 equal parts.
   36 ÷ 6 = 6
2. Take 3 of those parts. The top number tells us how many parts.
   3 × 6 = 18
3. Write the answer. Keep the unit from the question.
   18 cm

Check. Check: 6 × 6 = 36, and 3 parts is 18.

Watch out. Divide first, then multiply. Do not multiply by the bottom number.

Method. Divide by the bottom number to find one part, then multiply by the top number.

1. Find one 6th of 66. Share 66 into 6 equal parts.
   66 ÷ 6 = 11
2. Take 1 of those parts. The top number tells us how many parts.
   1 × 11 = 11
3. Write the answer. Keep the unit from the question.
   11 cm

Check. Check: 11 × 6 = 66, and 1 parts is 11.

Watch out. Divide first, then multiply. Do not multiply by the bottom number.

Method. Divide by the bottom number to find one part, then multiply by the top number.

1. Find one 5th of 45. Share 45 into 5 equal parts.
   45 ÷ 5 = 9
2. Take 1 of those parts. The top number tells us how many parts.
   1 × 9 = 9
3. Write the answer. Keep the unit from the question.
   9 cm

Check. Check: 9 × 5 = 45, and 1 parts is 9.

Watch out. Divide first, then multiply. Do not multiply by the bottom number.

Method. Divide by the bottom number to find one part, then multiply by the top number.

1. Find one 4th of 20. Share 20 into 4 equal parts.
   20 ÷ 4 = 5
2. Take 2 of those parts. The top number tells us how many parts.
   2 × 5 = 10
3. Write the answer. Keep the unit from the question.
   10 sweets

Check. Check: 5 × 4 = 20, and 2 parts is 10.

Watch out. Divide first, then multiply. Do not multiply by the bottom number.

Method. Divide by the bottom number to find one part, then multiply by the top number.

1. Find one 3th of 24. Share 24 into 3 equal parts.
   24 ÷ 3 = 8
2. Take 2 of those parts. The top number tells us how many parts.
   2 × 8 = 16
3. Write the answer. Keep the unit from the question.
   16 sweets

Check. Check: 8 × 3 = 24, and 2 parts is 16.

Watch out. Divide first, then multiply. Do not multiply by the bottom number.