Dividing Algebraic Fractions Flashcards

GCSE Mathematics (Edexcel) 1MA1

Dividing algebraic fractions

To divide algebraic fractions, multiply the first fraction by the reciprocal of the second fraction.

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Dividing algebraic fractions

To divide algebraic fractions, multiply the first fraction by the reciprocal of the second fraction.

Reciprocal of a fraction

The reciprocal of a fraction is obtained by swapping the numerator and the denominator.

Step 1 in dividing algebraic fractions

Write the division as a multiplication by flipping the second fraction (use its reciprocal).

Step 2 in dividing algebraic fractions

Simplify the numerators and denominators by cancelling any common factors.

Step 3 in dividing algebraic fractions

Multiply the numerators together and multiply the denominators together.

Simplifying algebraic fractions

Factorise the numerators and denominators where possible to cancel common factors.

Example: \( \frac{x}{y} \div \frac{z}{w} \)

Rewrite as \( \frac{x}{y} \times \frac{w}{z} \), then multiply numerators and denominators.

Dividing fractions with variables and constants

Treat variables and constants the same way as numbers when simplifying and multiplying.

Common mistake in dividing algebraic fractions

Forgetting to flip the second fraction before multiplying.

Why factorising is important in dividing fractions

Factorising helps to identify and cancel common factors, simplifying the final answer.

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