Algebraic Fractions (Leaving Cert Mathematics): Flashcards

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Adding and Subtracting Algebraic Fractions
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Condition for adding/subtracting algebraic fractions

Denominators must be the same

xa+ya=\frac{x}{a}+\frac{y}{a}=

x+ya\frac{x+y}{a}

xa−ya=\frac{x}{a}-\frac{y}{a}=

x−ya\frac{x-y}{a}

First step to add/subtract algebraic fractions

Find a common denominator

How to find common denominator

Product of the denominators

When creating common denominator, what to multiply

Multiply both the numerator and denominator

How to eliminate a fraction from an equation

Multiply both sides by the denominator

Cross multiplication: ab=cd\frac{a}{b}=\frac{c}{d} implies

ad=bcad=bc

ax=b\frac{a}{x}=b implies

a=bxa=bx

Strategy: where to place algebraic fractions vs constants

Algebraic fractions on one side, constants on other

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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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