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Maths · Grade 5 · Set C
Two-Step Fraction Stories
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C
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Goal: 15 min
Score/ 12
Remember: Say about how much first. Cut to one bottom to add or subtract, multiply across to find a part of a part, and check it against your estimate.

Estimate, then work it out

1
Mo drinks 9/10 liter of milk on Monday and 7/8 liter on Tuesday. About how much milk does he drink in all?
about 1about 2about 1/2
2
Bea has 7/8 yard of ribbon. She uses 1/4 yard for a bow and 1/2 yard for a card. How much ribbon is left? yard
3
A recipe uses 2 2/3 cups of oats and 1 3/4 cups of nuts. How many cups is that in all?
3 5/12 cups3 5/7 cups4 5/12 cups
4
Rob has 5/8 gallon of paint. He uses 2/3 of it for a fence. How much paint does he use? gallon
5
Pia has 4 7/8 feet of rope and gives 3/4 of it to a friend. About how much rope does she give?
about 2about 9about 4
6
A pitcher holds 5/6 liter. Leo drinks 1/5 of it. How much is left in the pitcher? liter

Bigger stories

7
3 1/2 − 1 3/4 = 2 1/4
TrueFalse
8
1/2 of 4/5 is less than 4/5.
TrueFalse
9
Sam says 7/8 − 1/2 = 6/6. Use an estimate. Why can't he be right?
The bottoms must be subtracted.6/6 is less than 1/2.6/6 is 1, but 7/8 − 1/2 is less than 7/8.
10
A rope is 3 1/2 yards long. Kai uses 2/7 of it. How many yards does he use? yards
11
Put these answers in order from the least (1) to the greatest (4).
  • 1/4 + 1/2
  • 5/6 − 1/2
  • 3/4 + 1/2
  • 1/2 × 1/4
12
Join each problem to its answer.
  1. 13/4 − 1/6
  2. 22/3 × 3/4
  3. 31/4 + 2/3
  4. 45/6 − 1/2
  • A11/12
  • B7/12
  • C1/3
  • D1/2
13
Write a story problem for 3/4 − 1/3. Solve it, then use an estimate to check your answer.
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Answer key · Set C
Two-Step Fraction Stories
1about 2 9/10 is close to 1 and 7/8 is close to 1, so about 1 + 1 = 2 liters.
21/8 Cut into eighths: 1/4 = 2/8 and 1/2 = 4/8. 7/8 − 2/8 − 4/8 = 1/8.
34 5/12 cups Twelfths: 2 8/12 + 1 9/12 = 3 17/12 = 4 5/12.
45/12 2/3 of 5/8 is 2/3 × 5/8 = 10/24, which is 5/12.
5about 4 4 7/8 is about 5. 3/4 of 5 is a little less than 4, so about 4 feet.
62/3 1/5 of 5/6 is 5/30 = 1/6. Then 5/6 − 1/6 = 4/6, which is 2/3.
7False 3 1/2 is 3 2/4. Borrow 1: 2 6/4 − 1 3/4 = 1 3/4, not 2 1/4.
8True Taking a half of something makes it smaller: 1/2 × 4/5 = 4/10 = 2/5.
96/6 is 1, but 7/8 − 1/2 is less than 7/8. Taking something away from 7/8 leaves less than 7/8, but 6/6 is a whole. He subtracted the bottoms by mistake.
101 3 1/2 is 7/2. Then 2/7 × 7/2 = 14/14 = 1 yard.
113, 2, 4, 1 They are 1/8, 1/3, 3/4 and 1 1/4.
121-B, 2-D, 3-A, 4-C Use twelfths for 3/4 − 1/6 and 1/4 + 2/3, multiply across for 2/3 × 3/4, and use sixths for 5/6 − 1/2.
13Your own words: a grown-up reads it.
Mark each answer, count the right ones and write the score on the sheet.