Worksheet: Nonunit Fractions of a Quantity

In this worksheet, we will practice finding nonunit fractions of a set or an amount using visual models and explaining how this relates to division and multiplication.

Q1:

Mason ate 37 of a cake. If the cake was cut into 21 slices, how many slices did Mason eat?

Q2:

Cakes are delivered in boxes of 30. At a party, if four-sixths of two boxes were eaten. How many cakes were eaten?

Q3:

A farmer plants rice in 35 of a field. The field has an area of 85 feddans. What area of the field has rice planted in it?

Q4:

Fill in the blank: 23 of 24 is .

Q5:

The number of students in a class is equal to 32 students. If 38 of the students are girls, find the number of girls in the class.

Q6:

Which of the following bar models represents 25 of 15?

  • A
  • B
  • C
  • D

Q7:

Find 25 of this set of 20 apples.

Q8:

In this set of 8 marbles, 3 are blue and 5 are red.

What fraction of the marbles are blue?

  • A35
  • B38
  • C58
  • D53

If there were 16 marbles with the same fraction of blue marbles, how many marbles would be blue?

Q9:

For homework, Chloe had to find 23 of 18. She thought of solving that as follows.

Follow Chloe’s steps to find 23 of 12.

Q10:

Use this bar model to find 25 of 15.

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