Adding and Subtracting Algebraic Fractions (Leaving Cert Mathematics): Quizzes

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Adding and Subtracting Algebraic Fractions
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What must be true before algebraic fractions can be added or subtracted?

Denominators must be the same

What does xa+ya\frac{x}{a}+\frac{y}{a} equal?

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

What does xa−ya\frac{x}{a}-\frac{y}{a} equal?

x−ya\frac{x-y}{a}

What is the first step when adding algebraic fractions?

Find a common denominator

What is a common denominator of two fractions?

Product of the denominators

When converting to a common denominator, what must you multiply?

Both numerator and denominator

What is the common denominator of 22 and xx?

2x2x

When solving equations with fractions, what should you do after reducing to one fraction?

Eliminate the fraction

How do you eliminate a fraction when ax=b\frac{a}{x}=b?

Multiply both sides by xx

If ab=cd\frac{a}{b}=\frac{c}{d}, what does cross multiplication give?

ad=bcad=bc

In Method 2, where should constants be moved when solving fraction equations?

To the RHS

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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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