# Finding the Reciprocal of an Algebraic Fraction(KS3, Year 8)

## The Lesson

To find the reciprocal of an algebraic fraction, turn the fraction upside down. Make the numerator the denominator, and the denominator the numerator.

## Question

What is the reciprocal of the algebraic fraction below? # 1

Make the numerator of the fraction the denominator of the reciprocal. In our example, the numerator of the fraction is x. # 2

Make the denominator of the fraction the numerator of the reciprocal. In our example, the denominator of the fraction is y. ## Answer:

We have found the reciprocal of the fraction: ## More Examples of Finding the Reciprocal of an Algebraic Fraction

Algebraic fractions do not just contain single letters.
• When an algebraic fraction has a number, we can find the reciprocal: • When an algebraic fraction has a term, we can find the reciprocal: • When an algebraic fraction has a expression, we can find the reciprocal: ## Lesson Slides

The slider below shows another real example of how to find the reciprocal of an algebraic fraction. Open the slider in a new tab

## What Is an Algebraic Fraction?

An algebraic fraction is a fraction which contains letters. ## Reciprocal When the Numerator Is 1

Consider an algebraic fraction where the numerator is 1: By finding the reciprocal, the denominator becomes 1: But a letter divided by 1 is itself: The reciprocal of a fraction with a numerator of 1 is simply the denominator.
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## See Also

What is a reciprocal? What is an algebraic fraction? What is a numerator? What is a denominator? What is a term? What is an expression?