# Finding the Reciprocal of a Fraction(KS2, Year 5)

homesitemapfractions arithmeticfinding the reciprocal of a fraction
To find the reciprocal of a fraction, turn the fraction upside down. Make the numerator the denominator, and the denominator the numerator.

## Question

What is the reciprocal of the fraction below?

## 1

Make the numerator of the fraction the denominator of the reciprocal. In our example, the numerator of the fraction is 3.

## 2

Make the denominator of the fraction the numerator of the reciprocal. In our example, the denominator of the fraction is 5.

We have found the reciprocal of the fraction:

## Finding the Reciprocal of a Mixed Fraction

The method above can be used to find the reciprocal of proper and improper fractions, but can not immediately be applied to mixed fractions. Mixed fractions must first be converted to improper fractions before the method can be applied.

## Question

What is the reciprocal of the mixed fraction below?

## 0

The method then continues as before.

## 1

Make the numerator of the fraction the denominator of the reciprocal. In our example, the numerator of the fraction is 11.

## 2

Make the denominator of the fraction the numerator of the reciprocal. In our example, the denominator of the fraction is 3.

We have found the reciprocal of the fraction:

## Lesson Slides

The slider below shows another real example of how to find the reciprocal of a fraction.

## What Is a Reciprocal?

The reciprocal of a quantity is the result of dividing 1 by that quantity.

## Why Is Finding the Reciprocal of a Fraction Useful?

The reciprocal of a fraction is useful for:

## Reciprocal When the Numerator Is 1

Consider a fraction where the numerator is 1: By finding the reciprocal, the denominator becomes 1: But a number divided by 1 is itself: The reciprocal of a fraction with a numerator of 1 is simply the denominator.

## You might also like...

#### Help Us Improve Mathematics Monster

• Did you spot a typo?
Please tell us using this form.

#### Find Us Quicker!

• When using a search engine (e.g., Google, Bing), you will find Mathematics Monster quicker if you add #mm to your search term.