Reciprocal of 4/5

What is the reciprocal of 4/5? Here we will define reciprocal of 4/5, and show you how to calculate the reciprocal of 4/5 in fraction form and decimal form.

The reciprocal of 4/5 is a fraction or a number that when multiplied by 4/5 is equal to 1. To get the reciprocal of 4/5 based on that definition, we can make the following equation where "R" is the reciprocal of 4/5.

(4/5) × R = 1

When we solve for R, we get the answer to the reciprocal of 4/5 as a fraction as follows:

(4/5) × R = 1
R = 5/4
Reciprocal of 4/5 = 5/4

You can check that the answer is correct by confirming that 4/5 times the reciprocal of 4/5 is equal to 1, like this:

4/5 × 5/4 = 1

To find the decimal answer to the reciprocal of 4/5, you divide the numerator of the reciprocal by the demoninator of the reciprocal, like this:

5 ÷ 4 = 1.25
Reciprocal of 4/5 = 1.25

Tip: As you may have inferred from our tutorial above, you can quickly get the reciprocal of any fraction, such as 4/5, by switching the numerator and the denominator.

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