# Reciprocal Calculator

If you're wondering **how to find the reciprocal**, we're here to help with this easy-to-use reciprocal calculator.
Below, you can find an explanation of **what a reciprocal is**, as well as examples on how to calculate and find the reciprocals, be it the reciprocal of a fraction or a number.

As you're interested in reciprocals, we suspect that fraction calculators may be interesting to you as well. So why not check out our other tools!

- Decimal to fractions calculator - converts any decimal to a fraction in an instant.
- Adding fractions calculator - useful to determine the sum of up to five fractions.
- Equivalent fractions calculator - finds a list of fractions equivalent to your fraction. Also, you can check there if two fractions are equivalent or not.

## What is a reciprocal?

A reciprocal in maths is one divided by the number in question (also known as the multiplicative inverse).

**The reciprocal of x = 1/x**

Alternatively, you can say that if you multiply a number by its reciprocal, you'll get 1:

For example, if our chosen number is 5, then it's reciprocal is 1/5. The multiplication of these two numbers will give us 1:

`5 * 1/5 = 5 * 0.2 = 1`

The name reciprocal comes from Latin, possibly from the phrase *reque proque* meaning *back and forth*. The reciprocal number to x may be denoted simply as **1/x**, but also as **x ^{-1}**. Thus, raising the number to the power of minus one is the same as finding its reciprocal.

## How to find the reciprocal?

So, in short, how to find the reciprocal of a number?

**Reciprocal of a fraction**

To find the reciprocal of a fraction,

switch the numerator and the denominator(the top and bottom of the fraction, respectively). So, simply speaking, the reciprocal ofa/bisb/a.

Example: the reciprocal of 3/4 is 4/3

**Reciprocal of a number**

To find the reciprocal of a number,

divide 1 by the number.

Example: the reciprocal of 7 is 1/7

**Reciprocal of a decimal**

To find the reciprocal of a decimal, you need to do the same as before - divide 1 by your decimal number.

Example: the reciprocal of 3.25 is 1/3.25

Additionally, our reciprocal calculator will show you the fraction in its simplified form.

Remember that **0 doesn't have the reciprocal**, as 1/0 is undefined.

## Examples: what is the reciprocal of 4? and 1/2?

We hope that, after our explanation, you now understand the concept of a reciprocal. In that case, let's have a look at two examples to check how this reciprocal calculator works!

**Example 1:** What is the reciprocal of 4?

**Is your number a fraction?**Not this time! Choose*No*from the drop-down list. (If you*really*want, you can leave it as the fraction option, and then choose 1 as the denominator).**Input the number for which you'd like to find the reciprocal**, which is 4.- Tadaa! That's all you need to do! The reciprocal calculator shows that the reciprocal of your number is 0.25, or, as a fraction, 1/4.

**Example 2:** What is the reciprocal of 1/2?

- Again, start with the question
**is the number is a fraction?**Pick*Yes*this time. **Enter the numerator (top) and denominator (bottom) of your fraction**into the appropriate fields. So, in our case, input 1 as the numerator and 2 in the denominator box.**The reciprocal calculator finds the answer**- the reciprocal of 1/2 is 2.