Worksheet: Dividing Unit Fractions by Whole Numbers

In this worksheet, we will practice dividing a unit fraction and a whole number by using the number line or models and using this to solve real-world problems.

Q1:

A parking lot that is 14 of an acre is to be divided into 9 equally sized areas. Determine the size of each area.

  • A 1 3 6 ac
  • B 8 3 4 ac
  • C36 ac
  • D 2 1 4 ac
  • E 9 1 4 ac

Q2:

David devoted 14 of his day to study, exercise, play a video game, and surf the web. Given that he spent the same amount of time on each of these activities, what fraction of his day did he spend studying?

  • A 1 1 6
  • B 1 2 0
  • C 1 2 4
  • D 1 8
  • E 1 1 2

Q3:

What is 14 divided by 3?

  • A12
  • B 1 3 4
  • C 3 4
  • D 1 1 2
  • E 4 3

Q4:

Two-thirds of a cake is divided equally into four pieces. The diagram shows this situation. The cake was divided first into three parts to identify two-thirds of the cake and then divided into four to get four pieces from the two-thirds.

How many fractional units are there after these two divisions?

How many units is one piece of cake?

What fraction, in its simplest form, of the cake is that?

  • A 1 2
  • B 1 6
  • C 1 3
  • D 1 8
  • E 1 1 2

Q5:

Half a liter of milk is poured equally into three mugs.

Use the diagram to find the quantity of milk in each mug.

  • A 3 2 L
  • B 2 3 L
  • C 1 3 L
  • D 1 2 L
  • E 1 6 L

Which of the following number sentences describes this situation?

  • A 1 3 × 2 = 2 3
  • B 1 2 ÷ 3 = 3 6 ÷ 3 = 1 6
  • C 1 2 × 3 = 3 2
  • D 1 ÷ 3 = 1 3
  • E 1 3 ÷ 2 = 2 6 ÷ 2 = 1 6

Q6:

After a party, 15 of a large pizza was left. If this leftover pizza is shared equally among 4 people, find the fraction of the whole pizza that each one receives.

  • A9
  • B 1 2 0
  • C20
  • D 1 9
  • E 4 5

Q7:

Use the number line to calculate 13÷7.

  • A 1 2 1
  • B10
  • C21
  • D 3 7
  • E 1 1 0

Q8:

Find 15÷7.

  • A 1 1 2
  • B12
  • C35
  • D 1 4 2
  • E 1 3 5

Q9:

What is 15 divided by 4?

  • A20
  • B 2 1 5
  • C 5 4
  • D 4 5
  • E 1 2 0

Q10:

Amelia bought 12 a kilogram of apples. She wants to split it equally between herself and 4 friends. How much will each one of the 5 take?

  • A10 kg
  • B 1 1 0 kg
  • C 1 8 kg
  • D8 kg
  • E 5 2 kg

Q11:

Use the model to calculate 15÷3.

  • A8
  • B 3 5
  • C15
  • D 1 8
  • E 1 1 5

Q12:

Select the figure that represents 18÷3.

  • A
  • B
  • C
  • D
  • E

Q13:

Half a one-liter water bottle is shared equally between two glasses of equal size. What quantity of water is there in each glass?

  • A 1 2 L
  • B 1 4 L
  • C 3 4 L
  • D1 L
  • E2 L

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