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Multiplying fractions and mixed numbers

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Explainer Video

Tutor: Toby

Summary

Multiplying fractions and mixed numbers

In a nutshell

Fractions and mixed numbers can be multiplied by whole numbers.

Example 1

At a restaurant three people choose pizza from the menu. Each person eats $\frac{3}{4}$ of a pizza. How much pizza do they eat altogether?

Maths; Fractions; KS2 Year 5; Multiplying fractions and mixed numbers

Three lots of three quarters totals nine quarters.

$\frac{3}{4}\times3 = \underline{\frac{9}{4}}$

Multiplying fractions by whole numbers

procedure

1.	Multiply the numerator of the fraction by the whole number. Note: The denominator does not change.
2.	Simplify the fraction if possible.

Example 2

Multiply $\frac{3}{12}$ by $3$ . Give your answer as a fraction in its simplest form.

Multiply the numerator of the fraction by the whole number:

$\frac{3\times3}{12} = \frac{9}{12}$ 

Simplify the fraction:

$\frac{9\div3}{12\div3}=\underline{\frac{3}{4}}$ 

Multiplying mixed numbers by whole numbers

procedure

1.	Convert the mixed number into an improper fraction.
2.	Multiply the numerator of the fraction by the whole number.
3.	Convert the answer to Step 2 back into a mixed number.
4.	Simplify the fraction if possible.

Example 3

Multiply $2\frac{1}{4}$ by $4$ . Give your answer as a mixed number in its simplest form.

Convert the mixed number into an improper fraction:

$2\frac{1}{4} = \frac{2\times4+1}{4} = \frac{9}{4}$ 

Multiply the numerator of the fraction by the whole number:

$\frac{9}{4}\times4=\frac{36}{4}$ 

Convert the fraction back into a mixed number:

$36\div4=\underline{9}$ 

Note: This question has no remainder, so the answer is a whole number with no fraction part.

Learn with Basics

Length:

Unit 1

Fractions as numbers

$Mixed numbers and improper fractions$

Unit 2

Mixed numbers and improper fractions

Jump Ahead

Optional

$Multiplying fractions and mixed numbers$

Unit 3