## 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.## How to Find the Reciprocal of an Algebraic Fraction

## Question

What is the reciprocal of the algebraic fraction below?## Step-by-Step:

# 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: