Loading please wait

The smart way to improve grades

Comprehensive & curriculum aligned

Try an activity or get started for free

Algebra: Equations with Fractions (2)

In this worksheet, students solve equations with fractions.

'Algebra: Equations with Fractions (2)' worksheet

Key stage:  KS 3

Curriculum topic:   Algebra

Curriculum subtopic:   Understand Expressions, Equations, Inequalities, Terms and Factors

Difficulty level:  

Worksheet Overview

There are several ways to solve equations with fractions. 

The easiest way is to multiply the whole equation by the lowest common multiple of the denominators (bottom parts) of the fractions.  This will eliminate the fractions and the equation can then be solved normally.



Solve the following equation for a:


a + a = 14
2 5




a + a = 14
2 5


Multiply both sides by 10, which is the l.c.m. of 2 and 5. 

Each part must be multiplied.


10 x a + 10 x a = 10 x 14
2 5


Reduce each part of the left hand side and we get 10 x 14 on the right hand side.


5 10 x a + 2 10 x a = 10 x 14
2 5



5a + 2a = 140


Simplify again

7a = 140

Divide both sides by 7

7a ÷ 7 = 140 ÷ 7



a = 20

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

Try an activity or get started for free