2.2.3

Algebraic Fractions - Addition & Subtraction

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Algebraic Fractions - Addition and Subtraction

To add (or subtract) algebraic fractions together, work out the common denominator and rewrite each so they all share the denominator. Then add (or subtract) the numerators.

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Example

  • The common denominator here is x(1 + x).
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Step 1

  • Multiply the top and bottom of middle term by (1 + x).
  • Multiply the top and bottom of the last term by x.
  • The denominators (bottom parts) are now all the same.
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Step 2

  • Add the numerators (top parts) together and keep the common denominator (bottom part).

Jump to other topics

1Number

1.1Using Numbers

1.2Fractions, Decimals & Percentages

1.3Powers & Roots

1.4Accuracy

2Algebra

2.1Introduction to Algebra

2.2Manipulating Algebra

2.3Proofs & Functions

2.4Straight Line Graphs

2.5Common Graphs

2.6Transformations & Tangents

2.7Properties of Graphs

2.8Solving Equations

2.9Inequalities

2.10Sequences

3Ratio

4Geometry

4.1Introduction to Geometry

4.2Triangles & Quadrilaterals

4.3Transformations

4.4Circle Basics

4.5Circle Theorems

4.6Measurements & Units

4.7Calculating Area

4.8Triangle Formulae

4.93D Shapes

4.10Vectors

5Probability

6Statistics

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