Division of Algebraic Fractions Simplified Revision Notes for Leaving Cert Mathematics

Revision notes with simplified explanations to understand Division of Algebraic Fractions quickly and effectively.

Learn about Algebraic Fractions for your Leaving Cert Mathematics Exam. This Revision Note includes a summary of Algebraic Fractions for easy recall in your Mathematics exam

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Division of Algebraic Fractions

Dividing algebraic fractions can get messy, a simple trick is to invert the denominator so the fractions multiply. In general :

\frac{\tfrac{a}{b}}{\tfrac{c}{d}} = \frac{d}{c} \cdot \frac{a}{b}

Example

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Simplify :

\frac{\frac{x}{5}}{\frac{3x}{2y}}

Convert the expression to a multiple :

\frac{\frac{x}{5}}{\frac{3x}{2y}}=\frac{2y}{3x} \cdot \frac{x}{5}

Multiply and simplify :

\frac{2y}{3x} \cdot \frac{x}{5} = \frac{2yx}{15x} = \frac{2y}{15}

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