Reciprocal Calculator - Integer, Decimal, Fraction

Welcome to the Reciprocal Calculator, where you can quickly calculate the reciprocal of a number. This number can be an integer, decimal or fraction. Fractions include proper fractions, improper fractions or mixed fractions.

The reciprocal is a number, multiplied by a hypothetical number X, which results in 1. The reciprocal at this time is recorded as 1X. Usually, the reciprocal is expressed as a fraction, sometimes as an integer. All numbers except 0 have reciprocals.

According to the definition of reciprocal, to calculate the reciprocal of a number, simply divide 1 by the number. Specifically, it can be divided into integer reciprocal, decimal reciprocal and fractional reciprocal.

Integer reciprocal

To find the reciprocal of an integer, just treat the integer as the denominator and the numerator as 1.

For example, the reciprocal of 5 is 15.

Decimal reciprocal

To calculate the reciprocal of a decimal, convert the decimal to a fraction first, and then find the reciprocal of the fraction.

For example, the reciprocal of 0.2.

Convert 0.2 to a fraction.

0.2 = 0.2 * 1010 = 210 = 15

So, the reciprocal of 0.2 is 5.

Fractional reciprocal

To reciprocate a fraction, just swap the numerator and denominator of the fraction. If it is a mixed fraction, you need to convert the mixed fraction to an improper fraction first, and then do the conversion.

For example, the reciprocal of 25 is 52.

What is the reciprocal of 213?

First, convert 213 to an improper fraction.

213 = 2 * 3 + 13 = 73

The reciprocal of 73 is 37.

So, the reciprocal of 213 is 37.

The procedure to use the reciprocal calculator is as follows:

Next, let’s look at some examples.