Four operations on fractions · Word problems · Set 5
Fraction word problems, including remainder and before-after problems.
- 1
Leo had $18. He spent 2/3 of it on a bag. How much money did he have left?
2 marksAnswer: ______________Here's howFraction left: 1 − 2/3 = 1/31/3 × 18 = 6Answer: $6 - 2
A jug holds 1/5 ℓ of water. How much water do 6 such jugs hold?
2 marksAnswer: ______________Here's how1/5 × 6 = 6/5Answer: 1 and 1/5 ℓ - 3
Max had some money. He spent 2/3 of it on a book and 1/4 of the remainder on a pen. He had $27 left. How much money did he have at first?
4 marksAnswer: ______________Here's howRemainder after the book: 1 − 2/3 = 1/3Left after the pen: 3/4 × 1/3 = 1/41/4 of the money = $27So all the money = $27 ÷ 3 × 12 = $108Answer: $108 - 4
Amy had some money. She spent 1/5 of it on a book and 2/3 of the remainder on a pen. She had $12 left. How much money did she have at first?
4 marksAnswer: ______________Here's howRemainder after the book: 1 − 1/5 = 4/5Left after the pen: 1/3 × 4/5 = 4/154/15 of the money = $12So all the money = $12 ÷ 4 × 15 = $45Answer: $45 - 5
Zoe had $45. She spent 3/5 of it on a bag. How much money did she have left?
2 marksAnswer: ______________Here's howFraction left: 1 − 3/5 = 2/52/5 × 45 = 18Answer: $18 - 6
Leo had 9 stickers and Amy had 6 stickers. Leo gave 3 stickers to Amy. What fraction of Amy's stickers did Amy get from Leo?
3 marksAnswer: ______________Here's howAmy now has 6 + 3 = 9Fraction from Leo: 3/9 = 1/3Answer: 1/3 - 7
Amy had 12 stickers and Max had 8 stickers. Amy gave 4 stickers to Max. What fraction of Max's stickers did Max get from Amy?
3 marksAnswer: ______________Here's howMax now has 8 + 4 = 12Fraction from Amy: 4/12 = 1/3Answer: 1/3 - 8
1/2 of a cake was left. Tom ate 2/3 of what was left. What fraction of the whole cake did Tom eat?
2 marksAnswer: ______________Here's how2/3 × 1/2 = 1/3Answer: 1/3
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