What is the reciprocal of 72/85? Here we will define reciprocal of 72/85, and show you how to calculate the reciprocal of 72/85 in fraction form and decimal form.
The reciprocal of 72/85 is a fraction or a number that when multiplied by 72/85 is equal to 1. To get the reciprocal of 72/85 based on that definition, we can make the following equation where "R" is the reciprocal of 72/85.
(72/85) × R = 1
When we solve for R, we get the answer to the reciprocal of 72/85 as a fraction as follows:
(72/85) × R = 1
R = 85/72
Reciprocal of 72/85 = 85/72
You can check that the answer is correct by confirming that 72/85 times the reciprocal of 72/85 is equal to 1, like this:
72/85 × 85/72 = 1
To find the decimal answer to the reciprocal of 72/85, you divide the numerator of the reciprocal by the demoninator of the reciprocal, like this:
85 ÷ 72 ≈ 1.180555555556
Reciprocal of 72/85 ≈ 1.180555555556
Tip: As you may have inferred from our tutorial above, you can quickly get the reciprocal of any fraction, such as 72/85, by switching the numerator and the denominator.
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Reciprocal of 72/86
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