Worksheet: Dividing Fractions

In this worksheet, we will practice dividing whole numbers by fractions and fractions by both whole numbers and fractions.

Q1:

Which of the following division expressions has a quotient of 2 3 ?

  • A 1 4 ÷ 1 7
  • B 2 9 ÷ 6 7
  • C 2 3 ÷ 4 7
  • D 4 9 ÷ 2 3
  • E 3 4 ÷ 1 6

Q2:

Calculate 2 3 2 4 ÷ 5 6 4 5 . Give your answer in its simplest form.

  • A 1 7 3 4 7 5
  • B 1 7 2 0
  • C 4 5 6 5 7 1
  • D 7 2 0

Q3:

Dina wants to make pancakes with a half litre of milk. Knowing that one-eighth of a litre of milk makes pancakes for one person, for how many people will his pancakes be?

  • A2
  • B8
  • C16
  • D4
  • E10

Q4:

Find 6 7 ÷ 3 7 .

Q5:

Find 1 2 ÷ 2 3 .

  • A 4 3
  • B 1 3
  • C3
  • D 3 4
  • E 3 2

Q6:

Milos bought 4 bottles of soda for a family gathering. After the gathering had been going for 1 hour, the cola bottle was 1 6 full, the lemon-lime bottle was 1 2 full, the cream soda bottle was full, and the cherry soda bottle was 1 3 full. If the soda was served in cups and each cup was 1 6 of a bottle, how many more cups can be poured?

Q7:

When 1 3 is divided by a fraction 𝑎 𝑏 , the result is 3 4 . Determine 𝑎 𝑏 .

  • A 1 4
  • B 1 3 1 2
  • C 5 1 2
  • D 4 9
  • E 9 4

Q8:

One-eighth of a pot of paint will paint one square meter. What area can be painted with three-quarters of a pot?

Q9:

Use the diagram to find 4 7 ÷ 2 5 (i.e., the number that 4 7 is 2 5 of).

  • A 7 1 0
  • B 8 3 5
  • C 4 3 8
  • D 1 3 7
  • E 3 4 3 5

Q10:

Find 3 7 ÷ 5 6 .

  • A 3 5 1 8
  • B 5 1 4
  • C 1 4 5
  • D 1 8 3 5
  • E 8 1 3

Q11:

A farmer wants to try a new type of seed. He has bought enough seeds for a field of area 1 1 0 square miles. He wants to plant them in a field of width 1 4 miles. What length of the field will be dedicated to this new seed type?

  • A 1 4 0 miles
  • B 2 1 2 miles
  • C 1 5 miles
  • D 2 5 miles
  • E 1 1 4 miles

Q12:

Find 5 9 ÷ 2 9 .

  • A 2 5
  • B 1 0 8 1
  • C 8 1 1 0
  • D 2 1 2
  • E 7 9

Q13:

Use the diagram to find 4 5 ÷ 1 5 (i.e.,how many 1 5 are in 4 5 ).

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