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Maths · Grade 6 · Set A
Dividing by a Fraction
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A
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Goal: 15 min
Score/ 13
Remember: To divide by a fraction, turn it over and multiply.

How many fit?

1
The bar shows 3/4 of a cup of rice. Each scoop is 1/4 cup. How many scoops can you fill?
2
The bar shows 2/3 of a cup. Each spoon holds 1/6 cup. 2/3 ÷ 1/6 = spoons
3
3/4 ÷ 1/8 =
4
Turn it over and multiply. Which is the same as 2/5 ÷ 1/3?
5/2 × 1/32/5 × 3/12/5 × 1/3
5
2/5 ÷ 1/3 = (write an improper fraction)
6
1/4 ÷ 4/5 =
7
3/4 ÷ 1/8 is less than 3/4.
TrueFalse
8
A ribbon 7/8 yard long is cut into 3 equal pieces. How long is each piece, in yards? Write a fraction.
9
The bar shows 4/7 of a pizza shared by 2 friends. How much does each friend get? Write a fraction.
10
Join each division to its answer.
  1. 11/2 ÷ 1/4
  2. 23/4 ÷ 1/4
  3. 31 ÷ 1/5
  4. 41/2 ÷ 1/8
  • A3
  • B4
  • C5
  • D2
11
Number the steps to divide one fraction by another.
  • Write the division
  • Write the answer in lowest terms
  • Turn the second fraction over
  • Multiply the tops, then multiply the bottoms
12
5/12 ÷ 3/4 =
13
Mia has 3/4 cup of rice. Each bowl takes 5/8 cup. How many bowls can she fill? Write an improper fraction.
14
Pip says 1/2 ÷ 4/5 is 2/5. Write what Pip did wrong and what the answer should be.
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Answer key · Set A
Dividing by a Fraction
13 3/4 is 3 quarters, and each scoop is 1 quarter. So 3 scoops.
24 2/3 is 4/6, and each spoon is 1/6. So 4 spoons.
36 Turn 1/8 over and multiply: 3/4 × 8 = 24/4 = 6.
42/5 × 3/1 Dividing by 1/3 is the same as multiplying by its flip, 3/1.
56/5 2/5 × 3 = 6/5, which is 1 and 1/5.
65/16 Turn 4/5 over: 1/4 × 5/4 = 5/16.
7False Dividing by a fraction less than 1 makes the answer bigger. 3/4 ÷ 1/8 = 6, which is more than 3/4.
87/24 7/8 ÷ 3 = 7/8 × 1/3 = 7/24.
92/7 4/7 ÷ 2 = 4/7 × 1/2 = 2/7.
101-D, 2-A, 3-C, 4-B Ask how many of the second fraction fit into the first.
111, 4, 2, 3 Flip only the fraction you are dividing by.
125/9 5/12 × 4/3 = 20/36 = 5/9.
136/5 3/4 ÷ 5/8 = 3/4 × 8/5 = 24/20 = 6/5, which is a little more than 1 bowl.
14Your own words: a grown-up reads it.
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