# Add and Subtract Complicated Algebraic Fractions

In this worksheet, students will add or subtract algebraic fractions giving their answer as a single fraction.

Key stage:  KS 3

Curriculum topic:   Algebra

Curriculum subtopic:   Use and Interpret Algebraic Notation

Popular topics:   Algebra worksheets

Difficulty level:

#### Worksheet Overview

When we add or subtract two fractions, they must have the same denominator.

We use equivalent fractions to change them into two fractions with the same lowest common denominator.

Example

Simplify:

 a + 5c 3b 6d

We must first find a common multiple of 3b and 6d, which is 6bd.

Then we change each fraction into '6bd' ths.

We multiply top and bottom of the first fraction by 2d.

We multiply top and bottom of the second fraction by b.

 a + 5c 3b 6d

 = a x 2d + 5c x b 3b x 2d 6d x b

 = 2ad + 5bc 6bd 6bd

Let's tackle some questions now.

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