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Worksheet: Dividing Unit Fractions by Nonzero Whole Numbers

Q1:

A parking lot that is 1 4 of an acre is to be divided into 9 equally sized areas. Determine the size of each area.

  • A 9 1 4 ac
  • B 36 ac
  • C 2 1 4 ac
  • D 1 3 6 ac
  • E 8 3 4 ac

Q2:

Daniel bought a dozen pens. He took 1 3 of them and then divided the remaining pens equally among his two colleagues. What fraction of the dozen did each of his two colleagues receive?

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

Q3:

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

Q4:

David devoted 1 4 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 2
  • B 1 2 0
  • C 1 2 4
  • D 1 1 6
  • E 1 8

Q5:

How many quarters of an hour are there in 5 hours?

Q6:

What is 1 4 divided by 3?

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

Q7:

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

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

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

Which of the following number sentences describes this situation?

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