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Multiplying Mixed Fractions

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Multiplying Mixed Fractions

Convert mixed numbers to improper fractions, multiply, then simplify your answer. Show your working for written questions.

Convert mixed numbers

Write each mixed number as an improper fraction.

1.Convert 3⅖ to an improper fraction.

2.Convert 2⅚ to an improper fraction.

Multiply and simplify

Calculate each product. Give your answer as a simplified fraction or mixed number.

3.Calculate 1⅔ × 2¼.

4.Calculate 2⅖ × 1⅜. Show your conversion and simplification.

5.Which is the simplified value of 1¾ × 2⅖?

4⅕
4⅚
3⅘
5⅙

6.Calculate 3⅓ × 1½. Write the answer in simplest form.

7.Match each mixed number to its equivalent improper fraction.

1⅘
2¼
3⅔
2⅚

9/4
17/6
11/3
9/5

Use multiplication in context

Read each situation carefully. Write a number sentence and calculate the answer.

8.For a Matariki celebration, Ari prepares 1⅔ litres of a drink for each table. There are 2½ tables’ worth to prepare. How many litres of drink are needed altogether?

9.A wooden strip is 2⅔ metres long. Harrison makes 1½ strips of this length for a display. What is the total length of wood used?

10.A batch of star-shaped biscuits uses ¾ cup of oats. Ana makes 2⅔ batches. How many cups of oats does she use?

11.A model for a school display is 1⅝ metres tall. A second model is 1⅖ times as tall. How tall is the second model? Give your answer as a simplified mixed number.