Now, try the calculator and find the reciprocal of the given fractions. The reciprocal of a number is defined as the expression which when multiplied by the number gives the product as 1. To find the reciprocal of 9 we first write it as a fraction with 1 as the denominator.

The following diagram shows how to get the reciprocal of a fraction, whole number and mixed number. Scroll down the page for more examples and solutions on using reciprocals. This online Reciprocal Calculator finds the reciprocal of a decimal number or a https://www.wave-accounting.net/ fraction (proper, improper or mixed number). The numerator and the denominator of a fraction are separated by the slash symbol (/) with no spaces in between. It is important to leave space between the whole number and the fraction part of a mixed number.

The following video will show how to find the reciprocal of fractions. Our Reciprocal Calculator easily finds reciprocals for fractions and mixed numbers. If a reciprocal is an improper fraction you can find its representation as a mixed number simply by clicking the ‘Calculate’ button again or vice versa.

## Reciprocal of a Mixed Fraction

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. We hope the free online tool in the Reciprocal Fraction Calculator has been useful to you. For more informative and educational content like this, you can download the free Testbook App.

- It is easy to understand that multiplying by a number is equal to dividing by its reciprocal and vice versa.
- Try the free Mathway calculator and

problem solver below to practice various math topics. - We calculate the reciprocal of a decimal by one over the decimal number.
- In other words, the reciprocal of a number is defined as 1 divided by that number.

Finding the reciprocal of a fraction to turn the division into the multiplication and make our calculations simple. To find the reciprocal, choose the type of the number then enter the values in the reciprocal calculator. The reciprocal of a fraction can be found by interchanging the numerator and the denominator values.

## The additive inverse

Inverse is just another word for opposite, and additive refers to the fact that when you add these opposite numbers together, they always equal 0. The following video provides more examples of finding the opposite of a number. In a previous chapter, we worked with opposites and absolute values.

## Reciprocals of Fractions: Understanding the Basics

The reciprocal equivalent of the multiplicative inverse is frequently employed. So this way by the multiplicative inverse property we can find the reciprocal of whole number. Similar to the reciprocal of a whole number we can also find the reciprocal of a negative number. To find the reciprocal of the negative number, we divide 1 by the negative number and simplify it further.

## You see real learning outcomes.

A reciprocal calculator is an online tool that shows the reciprocal of a number or a fraction. You can use the reciprocal https://adprun.net/ fraction calculator or solve it by yourself. To learn how to find the reciprocal of different numbers, continue reading.

## Reciprocal of Rational Expressions

In Mathematics, the reciprocal of any quantity is, one divided by that quantity. If the given number is multiplied by its reciprocal, we get the value 1. https://online-accounting.net/ Notice that the reciprocal of a number that’s already a fraction is just a flipped fraction. This type of opposite is also called the additive inverse.

## How to Find the Reciprocal of a Number?

A reciprocal is a type of inverse but inverse is not necessarily a reciprocal. If we multiply the number by the reciprocal of the number, we will get unity, that is, 1. Thus, we can have a reciprocal for all real numbers except 0. We can find the reciprocal of any number, but we cannot apply the reciprocal condition on zero, since it will give an indefinite value.