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Maths · Grade 6 · Set C
Dividing Wholes, Mixed Numbers and Fractions
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C
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Goal: 15 min
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Remember: To divide by a fraction, turn it over and multiply.

Dividing by a fraction

1
The bar shows 3/4 of a cake, cut in twelfths. Each slice is 1/12 of the cake. How many slices are there?
2
There are 4 pizzas. Each serving is 2/3 of a pizza. 4 ÷ 2/3 = servings
3
3/5 ÷ 9/10 = (write it in lowest terms)
4
Dividing a number by 1/4 gives an answer 4 times as big as the number.
TrueFalse
5
A board 2 1/2 feet long is cut into 5 equal pieces. How long is each piece, in feet? Write a fraction.
6
Leo has a ribbon 1 2/3 yards long. He cuts pieces that are 3/5 yard long. 1 2/3 ÷ 3/5 = (write an improper fraction)
7
Mia has 6 cups of rice. Each scoop holds 3/4 cup. How many scoops can she fill?
8
Which answer is the biggest?
3/4 ÷ 3/23/4 ÷ 13/4 ÷ 1/2
9
Join each division to its answer.
  1. 11/2 ÷ 3/4
  2. 23/4 ÷ 1/2
  3. 32/5 ÷ 4/5
  4. 44/5 ÷ 2/5
  • A1/2
  • B2
  • C2/3
  • D3/2
10
1/4 × = 3/8. What number goes in the gap? Write an improper fraction.
11
Mia has 3/4 cup of rice. She uses 1/4 cup for soup and pours the rest into bowls that each hold 1/8 cup. How many bowls can she fill?
12
Number the steps to divide 1 1/2 by 3/4.
  • Multiply 3/2 × 4/3 = 12/6
  • Write 3/2 ÷ 3/4 and turn 3/4 over
  • Write the answer, 2
  • Write 1 1/2 as 3/2
13
Pip says 6 ÷ 1/2 = 3, because 6 split in half is 3. Write how you know Pip is wrong, and what the answer is.
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Answer key · Set C
Dividing Wholes, Mixed Numbers and Fractions
19 3/4 is 9/12, and each slice is 1/12. So 9 slices.
26 Turn 2/3 over and multiply: 4 × 3/2 = 12/2 = 6.
32/3 3/5 × 10/9 = 30/45, which is 2/3 in lowest terms.
4True There are 4 quarters in every whole, so n ÷ 1/4 = n × 4.
51/2 2 1/2 is 5/2. 5/2 ÷ 5 = 5/2 × 1/5 = 5/10 = 1/2.
625/9 1 2/3 is 5/3. 5/3 ÷ 3/5 = 5/3 × 5/3 = 25/9, which is a little more than 2 pieces.
78 6 ÷ 3/4 = 6 × 4/3 = 24/3 = 8.
83/4 ÷ 1/2 Dividing by a smaller fraction gives a bigger answer. 3/4 ÷ 3/2 = 1/2, 3/4 ÷ 1 = 3/4 and 3/4 ÷ 1/2 = 3/2.
91-C, 2-D, 3-A, 4-B Turn the second fraction over, multiply, and write the answer in lowest terms.
103/2 Division undoes multiplication: 3/8 ÷ 1/4 = 3/8 × 4 = 12/8 = 3/2.
114 3/4 − 1/4 = 1/2 cup is left. 1/2 ÷ 1/8 = 1/2 × 8 = 4.
123, 2, 4, 1 Make the mixed number a fraction first, then turn the second fraction over.
13Your own words: a grown-up reads it.
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