Algebraic Fractions (Leaving Cert Mathematics): Quizzes

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Division of Algebraic Fractions
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What is the simple trick for dividing algebraic fractions?

Invert the denominator

In abcd\frac{\frac{a}{b}}{\frac{c}{d}}, which fraction is inverted?

cd\frac{c}{d}

What does abcd\frac{\frac{a}{b}}{\frac{c}{d}} equal?

dc⋅ab\frac{d}{c} \cdot \frac{a}{b}

What is the first step to simplify x53x2y\frac{\frac{x}{5}}{\frac{3x}{2y}}?

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

What is 2y3x⋅x5\frac{2y}{3x} \cdot \frac{x}{5} when multiplied?

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

What is the simplified form of 2yx15x\frac{2yx}{15x}?

2y15\frac{2y}{15}

What operation replaces division after inverting the denominator?

Multiplication

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