Multiply Algebraic Fractions

In this worksheet, students will multiply algebraic fractions giving their answers as a single fraction.

Key stage: KS 3

Year: Year 9 Maths worksheets

Curriculum topic: Algebra

Curriculum subtopic: Use and Interpret Algebraic Notation

Difficulty level:

---- OR ---- Preview Activity

Worksheet Overview

When we multiply algebraic fractions, we try to reduce or cancel down any top term with a bottom term that has a common factor.

Example

Simplify:

a³	x	5
10	x	7a²

Answer

We look for any top term which has a common factor with any bottom term.

If we find such a pair of terms, we divide them by their common factor.

a³	x	5
10	x	7a²

=	a³ ÷ a²	x	5
	10		7a² ÷ a²

=	a	x	5
	10		7

=	a	x	5 ÷ 5
	10 ÷ 5		7

=	a	x	1
	2		7

=	a
	14

Let's try some questions now.

---- OR ----

Preview activity

What is EdPlace?

We're your National Curriculum aligned online education content provider helping each child succeed in English, maths and science from year 1 to GCSE. With an EdPlace account you’ll be able to track and measure progress, helping each child achieve their best. We build confidence and attainment by personalising each child’s learning at a level that suits them.

Get started