What is the reciprocal of 1 8

Create reciprocal value / reverse

You will learn here what the reciprocal value is and how it is formed. Let's look at this:

  • A Explanation what the reciprocal is and what you need it for.
  • Examples how to get the reciprocal.
  • Tasks / exercises so that you can practice this yourself.
  • A Video at the reciprocal.
  • A Question and answer area to this area.

Tip: It is helpful to understand this article if you already have the fraction calculation on it.

Explanation: create reciprocal value

Let's take a quick look at a definition / explanation of the reciprocal value:


The reciprocal of x is the number that multiplied by x results in the number 1. However, the number cannot be zero. In the case of a fraction, the numerator and denominator are swapped.

Examples 1: reciprocal numbers and fractions

Let's start with the reciprocal of simple numbers and fractions. With the simple numbers, the number simply moves into the denominator. In the case of a fraction, the numerator and denominator are simply swapped.

Another hint: the reciprocal of 1 is simply 1. Or the reciprocal of 4 is 1/4.

Examples 2: reciprocal decimal numbers and negative numbers

What about decimals and negative numbers? In the case of decimal numbers, these simply move into the denominator. Here are a few examples:


Examples of reciprocal fractions and double fractions

In this section we look at examples of the application of the reciprocal. The examples are intended to show what the meaning of reciprocal value is.

Example 3: Fractional Division

We have two fractions with a division sign in between. What is the solution to the problem?


Here we need the reciprocal. More precisely, the reciprocal of the second fraction. Because this is exactly what we have to multiply with. Therefore we swap the numerator and denominator for the second fraction.

Example 4: reciprocal value for a double fraction

We are missing again the reversal for the reciprocal value. This time we have a double fraction. What is the solution to this problem?


We'll first write this as a division of two fractions. Then we multiply by the reciprocal value and then shorten it.

Tasks / exercises reciprocal


Video reciprocal

Explanation and examples

The next video is about the reciprocal. This is covered:

  • What is the reciprocal?
  • Examples of the reciprocal
  • Reciprocal values
  • Explanations about reciprocals

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Questions with answers reciprocal

In this section we look at typical questions with answers about the reciprocal.

Q: When is the reciprocal value needed?

A: The reciprocal value is primarily used once in fractions, especially in school. The division of two fractions is done by multiplying by the reciprocal.

Q: What other topics should I check out?

A: We worked a lot with fractions here. Therefore, here is our overview of the contents of the fraction calculation: