## 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:

## 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.## You might also like...

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