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Algebraic fractions - OCRAdd and subtract rational expressions - Higher

Algebraic expressions in fraction form are rational. Methods of adding, subtracting, multiplying and dividing fractions plus expanding and factorising can be used to simplify rational expressions.

Part of MathsAlgebra

Adding and subtracting rational expressions - Higher

Adding and subtracting algebraic fractions is a similar process to adding and subtracting normal fractions.

Fractions can only be added or subtracted when there is a and algebraic fractions are the same in this method.

Example

Write \(\frac{2}{y} + \frac{1}{y}\) as a single fraction.

In this example, the of the two fractions are the same, so the can simply be added.

This gives \(\frac{2}{y} + \frac{1}{y} = \frac{2 + 1}{y} = \frac{3}{y}\).

This fraction cannot be simplified so \(\frac{3}{y}\) is the final answer.

Question

Write \(\frac{5}{3t} - \frac{2}{7t}\) as a single fraction.

Question

Simplify \(\frac{2}{y + 4} + \frac{3}{y - 2}\).