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Also, learn what is the reciprocal of a number or of a fraction as well as use our step-by-step calculator. If the fraction is negative, the reciprocal is also negative. 38, the numerator is 3, and the denominator is 8. A more illustrative example could involve a pie with 8 slices.

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- Get answers from Weegy and a team of really smart live experts.
- Refer to the equations below for clarification.
- Also, learn what is the reciprocal of a number or of a fraction as well as use our step-by-step calculator.
- Since we can express 3 as a fraction by writing3 over 1, it appears we can form the reciprocal of 3simply by “flipping over” the expression 3/1.
- Use this calculator if the numerators or denominators are very big integers.

To find the reciprocal of a whole number, just turn it into a fraction in which the original number is the denominator and the numerator is 1. If you’ve ever multiplied and divided fractions, the reciprocal might seem familiar to you. (If not, you can always check out our lesson on multiplying and dividing fractions.) When you multiply two fractions, you multiply straight across. The numerators get multiplied, and the denominators get multiplied. Why do we use reciprocals when dividingfractions?

## Expert Answer

5y→15y18→1183→443And because reciprocal means opposite, the reciprocal of a reciprocal fraction is a whole number. A number’s negative reciprocal is the same as the regular reciprocal, multiplied by negative one. Solve the problem using long division. Use long division techniques to calculate the reciprocal.

Following quiz provides Multiple Choice Questions related to The Reciprocal of a Number. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using Show Answer button. You can use Next Quiz button to check new set of questions in the quiz.

## Example: What Is The Reciprocal Of 213 Two And One

This article discusses the steps on how to find the reciprocal of a number, mixed numbers, fractions and decimals. The second type of opposite number has to do with multiplication and division. It’s called the multiplicative inverse, but it’s more commonly called a reciprocal. Change the division problem to use whole numbers. The first step to dividing decimals is to move the decimal point until all the numbers involved are whole numbers. In this case, you’ve moved each decimal place one space to the right, which is the same as multiplying each number by ten.

For any whole number, place it under 1. Decimal numbers have reciprocals too! To find the reciprocal of a decimal number, change it to a fraction, then flip the fraction.

## Example Questions

That means that the reciprocal of 9 is1/9. Find the reciprocal of a fraction by flipping it. Thedefinition of “reciprocal” is simple. To find the reciprocal of anynumber, just calculate “1 ÷ .”

Write the reciprocal of a whole number as a fraction. Again,the reciprocal of a number is always 1 ÷ . Here is the next fraction on our list that we have calculated the reciprocal of. Do you need the reciprocal of another fraction?

## Example Question #1 : How To Find The Reciprocal Of A Fraction

Get unlimited, ad-free homework help with access to exclusive features and priority answers. If you’ve never worked with positive and negative numbers, you might want to review our lesson on negative numbers. % of people told us that this article helped them. Include your email address to get a message when this question is answered. In a previous chapter, we worked with opposites and absolute values. The table below compares opposites, absolute values, and reciprocals.

The multiplicative inverse is the number by which you multiply another to get a product of 1. For any fraction, simply switch the numerator and the denominator.

## Video On How To Find The Reciprocal Of Whole Numbers, Fractions And Mixed Numbers

To find the reciprocal of a fraction, we invert the fraction. This means that we place the numerator in the denominator and the denominator in the numerator. The reciprocal for a whole number, for example, #6#. You just pretty much change the number to a fraction, the number is the denominator and #1# is the numerator. Use our calculator to get the reciprocal of 7/8.

The number 2 written as a fraction would be2/1 . So the reciprocal is simplyflipping that fraction which would then become 1/2 or onehalf. A fraction multiplied by its reciprocal willequal 1. To find the reciprocal of a fraction, switch thedenominator and numerator.

## Reciprocal Of A Fraction

Analogously, the product of a number and itsreciprocal is always one. In other words, a numbermultiplied by its reciprocal always yields one as theanswer. Since we can express 3 as a fraction by writing3 over 1, it appears we can form the reciprocal of 3simply by “flipping over” the expression 3/1.

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When you have a fraction, the reciprocal can beobtained by swifting the numerator and the denominator, this is thereciprocal of a/b is equal to b/a. To find the reciprocal of a whole number, just convert it into a fraction in which the original number is the denominator and the numerator is 1. When you have a fraction, the reciprocal can be obtained by swifting the numerator and the denominator, this is the reciprocal of a/b is equal to b/a. You can double check that it works by making sure the product of a fraction and its reciprocal is 1.

## Basic Math Examples

Not sure how to convert a decimal number to a fraction? Check out our lesson on converting percentages, decimals, and fractions. The inverse of a fraction a/b is denoted as (a/b)-1, which is b/a.

To get the reciprocal of a fraction you just need to turn it upside down or swap numerator to denominator i.e. This excellent video explains how to find the reciprocal what is the reciprocal of 7 8 of a whole number, a fraction, as well as, the reciprocal of a mixed number. Use this calculator if the numerators or denominators are very big integers.

### What is the reciprocal of 7 2 as a fraction?

A reciprocal of a fraction ab is created by changing places of numerator and denominator (it can only be done if the numerator of the original fraction a is different from zero), so it is ba . So in the given example the reciprocal of 72 is 27 .

1 of those 8 slices would constitute the numerator of a fraction, while the total of 8 slices that comprises the whole pie would be the denominator. If a person were to eat 3 slices, the remaining fraction of the pie would therefore be 58 as shown in the image to the right. Note that the denominator of a fraction cannot be 0, as it would make the fraction undefined. Fractions can undergo many different operations, some of which are mentioned below. The reciprocal of 9 is the number that, whenmultiplied with 9, is equal to 1. With whole numbers, areciprocal will be that number in the denominator and a 1 inthe numerator.

- For example, is more cumbersome than 12.
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- After you’ve solved both sets of problems, you can scroll down to view the answers.
- Write the reciprocal of a whole number as a fraction.

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