Division of Algebraic Fractions (Leaving Cert Mathematics): Flashcards

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Division of Algebraic Fractions
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Trick for dividing algebraic fractions

Invert the denominator and multiply

abcd\frac{\frac{a}{b}}{\frac{c}{d}} equals

dc⋅ab\frac{d}{c} \cdot \frac{a}{b}

First step when dividing algebraic fractions

Invert the denominator

Simplify: x53x2y\frac{\frac{x}{5}}{\frac{3x}{2y}}

2y15\frac{2y}{15}

Invert 3x2y\frac{3x}{2y}

2y3x\frac{2y}{3x}

x53x2y\frac{\frac{x}{5}}{\frac{3x}{2y}} as multiplication

2y3x⋅x5\frac{2y}{3x} \cdot \frac{x}{5}

2y3x⋅x5\frac{2y}{3x} \cdot \frac{x}{5} equals

2yx15x\frac{2yx}{15x}

Simplify 2yx15x\frac{2yx}{15x}

2y15\frac{2y}{15}

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The Basics

Algebraic Fractions

Factorisation

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The Basics

Algebraic Fractions

Factorisation

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The Basics

Algebraic Fractions

Factorisation

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The Basics

Algebraic Fractions

Factorisation

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