Simplifying algebraic fractions (AQA GCSE Further Maths): Quizzes

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Simplifying algebraic fractions
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What are algebraic fractions?

Fractions with algebraic expressions

What is the first step when simplifying algebraic fractions?

Factor completely

What is 2x+23x+3\frac{2x + 2}{3x + 3} in simplified form?

23\frac{2}{3}

What is a2−a−6a2−8a+15\frac{a^2 - a - 6}{a^2 - 8a + 15} simplified?

a+2a−5\frac{a+2}{a-5}

How do you multiply two algebraic fractions together?

Multiply numerators and denominators

How do you divide one algebraic fraction by another?

Multiply by the reciprocal

What is 34÷916\frac{3}{4} \div \frac{9}{16} equal to?

43\frac{4}{3}

What do you need when adding or subtracting algebraic fractions?

Common denominator

What is 5x6+x4\frac{5x}{6} + \frac{x}{4} simplified?

13x12\frac{13x}{12}

In 2x+23x+3\frac{2x + 2}{3x + 3}, can you cancel the xx terms?

No, must factor first

How can you check if your simplified answer is correct?

Substitute a simple value like x=1x=1

What patterns help with factoring algebraic fractions?

Difference of squares, trinomials

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