The **reciprocal** of a number is 1 divided by the number. The reciprocal of a fraction is found by flipping its numerator and denominator. Here is how to find the Reciprocal of a Fraction, Whole Number, Mixed Number, and Decimal.

Contents

## How to Find the Reciprocal of a Fraction

**Find the reciprocal of a fraction by flipping it. **In other words, swap over the Numerator and Denominator.

## How to Find the Reciprocal of a Whole Number

For a whole number, write that as a fraction; there’s no point in calculating it out to a decimal.

- For instance, the reciprocal of 2 is 1 ÷ 2 =
.^{1}/_{2}

## How to Find the Reciprocal of a **Mixed Number**

A mixed number is a part whole number and part fraction, such as 2^{4}/_{5}.

**Convert Mixed numbers into an improper fraction.****Flip the fraction.**The reciprocal of

^{14}/_{5 }is^{5}/_{14. }

## How to Find the Reciprocal of a **Decimal**

**Change it to a fraction if possible.**For instance, 0.5 =^{1}/_{2}, and 0.25 =^{1}/_{4}. Once in fraction form, just flip the fraction to find the reciprocal.For instance, the reciprocal of 0.5 is

^{2}/_{1}= 2.**Write out a division problem.**Calculate the reciprocal of that number as a division problem:**1 ÷ (the decimal)**.For example, you can find the reciprocal of

**0.4 by calculating 1 ÷ 0.4**.**Change the division problem to use whole numbers.**

You can take**1 ÷ 0.4 and rewrite it as 10 ÷ 4**. In this case, you’ve moved each decimal place one space to the right, which is the same as multiplying each number by ten.**Solve the problem using long division.**If you calculate it for

**10 ÷ 4**, you’ll get the answer**2.5**, the reciprocal of 0.4.