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Maths · Grade 5 · Set C
Between Which Wholes?
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C
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Remember: A fraction is a division, and the number being shared goes on top. If the top is bigger, the share is more than 1.

How big is a share?

1
11 pies are shared equally among 4 children. Between which two whole numbers is each child's share?
between 1 and 2between 3 and 4between 2 and 3
2
7 apples are shared equally among 3 children. How much does each child get?
7/10 of an apple3/7 of an apple2 and 1/3 apples
3
A rope 9 meters long is cut into 4 equal pieces. How long is each piece? Write an improper fraction. meters
4
6 liters of juice are poured equally into 4 jugs. How many liters are in 2 jugs together? liters
5
7 ÷ 3 is the same as 3/7.
TrueFalse

Think about it

6
Join each division to its mixed number.
  1. 17 ÷ 2
  2. 29 ÷ 4
  3. 311 ÷ 3
  4. 413 ÷ 5
  • A2 1/4
  • B3 1/2
  • C2 3/5
  • D3 2/3
7
5 wholes are shared by 4. Which picture shows 5 ÷ 4 = 5/4?
A
B
C
8
12 pies are shared equally among 8 children. How much does each child get? Write a fraction.
9
Sam says 4 ÷ 9 is bigger than 1. Why can't he be right?
Dividing always makes a number smaller.9 ÷ 4 is the same as 4 ÷ 9.4 pies shared by 9 children is less than 1 pie each.
10
Each of 8 children gets 3/8 of a pizza. How many whole pizzas were shared?
11
Number these from the least (1) to the greatest (4).
  • 3 ÷ 4
  • 9 ÷ 8
  • 7 ÷ 8
  • 2 ÷ 3
12
Explain why 9 ÷ 4 is more than 2 but less than 3.
13
Draw 5 bars. Show how 3 children can share them equally. Write how much each child gets.
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Answer key · Set C
Between Which Wholes?
1between 2 and 3 11 ÷ 4 = 11/4. 2 × 4 = 8 and 3 × 4 = 12, and 11 is between them, so each share is between 2 and 3.
22 and 1/3 apples 7 ÷ 3 = 7/3. Each child gets 2 whole apples and 1/3 of an apple more.
39/4 9 ÷ 4 = 9/4 of a meter, which is 2 and 1/4 meters.
43 One jug holds 6 ÷ 4 = 6/4 liter. Two jugs hold 2 × 6/4 = 12/4 = 3 liters.
5False The number being shared goes on top: 7 ÷ 3 = 7/3, which is more than 2. 3/7 is less than 1.
61-B, 2-A, 3-D, 4-C 7 ÷ 2 = 7/2, and 3 × 2 = 6 with 1 left, so 3 1/2. The other three work the same way.
7B 5/4 is 4 fourths (1 whole) and 1 more fourth: a full circle and 1/4.
83/2 12 ÷ 8 = 12/8, which is the same as 3/2, or 1 and a half pies.
94 pies shared by 9 children is less than 1 pie each. There are fewer pies than children, so each share is less than 1. 4 ÷ 9 = 4/9.
103 8 children with 3/8 each is 3 pizzas cut into eighths, because 3 ÷ 8 = 3/8.
112, 4, 3, 1 2/3 is about 0.67, 3/4 is 0.75, 7/8 is 0.875 and 9/8 is more than 1.
12Your own words: a grown-up reads it.
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