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Reciprocal Calculator

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The reciprocal calculator swiftly finds the reciprocal of various kinds of numbers, integers, easy fractions, and combined fractions. via this tool, you can without difficulty get the multiplicative inverse of any range or fraction along side the step-by-step calculation.

A way to find The Reciprocal?

The procedure of locating the reciprocal of an integer/decimal, simple, and mixed fractions is as follows:

Reciprocal of Integer/Decimal Numbers:

To start with, divide it with the aid of 1 to make a numerator: After that perform swapping of numerator and denominator as beneath:

The reciprocal of 15.25 is:

\(\dfrac{15.25}{1} \to \dfrac{1}{15.25}\)

\(\dfrac{1}{15.25}\ is\ a\ reciprocal\ of\ \dfrac{15.25}{1}\)

Alternate the decimal to fraction:

\(\dfrac{1\times100}{15.25\times 100}=\dfrac{100}{1525}=\dfrac{4}{61}\)

Reciprocal of simple Fractions:

Change the numerator and denominator:

\(\dfrac{18}{30} \to \dfrac{30}{18}=\ 1.67\)

\(\dfrac{30}{18}\ is\ a\ reciprocal\ of\ \dfrac{18}{30}\)

Reciprocal of mixed Fraction:

solve the proper fraction after which turn it into its reciprocal as below:

\(2\dfrac{3}{4}=\dfrac{11}{4} \to \dfrac{4}{11}\)

To exactly compute the reciprocals of the decimals/numbers, fractions, and mixed fractions, use the reciprocal calculator. It simplifies the technique of finding the multiplicative inverse.

Example:

Allow's assume you've got the following combined fraction, locate the reciprocal:

\(\ The\ mixed\ fraction=\ 4\dfrac{2}{5}\)

Solution:

change the blended fraction to a easy fraction by means of multiplying the “5” by way of “four” and adding “2”:

We get

\(\ Mixed\ fraction=\ 4\dfrac{2}{5}=\dfrac{20+2}{5}=\dfrac{22}{5}\)

Now we have the improper fraction. converting the numerator to the denominator and vice versa:

\(\dfrac{22}{5},\ we\ get\ \dfrac{5}{22}\)

through multiplying:

\(\dfrac{22}{5}\times\dfrac{5}{22}=\ 1\)

You may perform the guide calculations as we've accomplished above, or for comfort, you may use the reciprocal fraction calculator.

FAQs:

what is the Reciprocal of 1?

A reciprocal of the unIty or “1” is one Itself. For this, find the inverse of “1” as: \(\dfrac{1}{1}(i.e.\dfrac{1}{1} =\ 1)\ and \ (1\times 1 =\ 1)\)

what is the Reciprocal Rule of The department?

The easy rule of the division is "Multiply the dividend with the aid of the reciprocal of the divisor", certainly you want to invert the divisor and multiply It by means of the dividend.