What is the reciprocal of 5/13? Here we will define reciprocal of 5/13, and show you how to calculate the reciprocal of 5/13 in fraction form and decimal form.
The reciprocal of 5/13 is a fraction or a number that when multiplied by 5/13 is equal to 1. To get the reciprocal of 5/13 based on that definition, we can make the following equation where "R" is the reciprocal of 5/13.
(5/13) × R = 1
When we solve for R, we get the answer to the reciprocal of 5/13 as a fraction as follows:
(5/13) × R = 1
R = 13/5
Reciprocal of 5/13 = 13/5
You can check that the answer is correct by confirming that 5/13 times the reciprocal of 5/13 is equal to 1, like this:
5/13 × 13/5 = 1
To find the decimal answer to the reciprocal of 5/13, you divide the numerator of the reciprocal by the demoninator of the reciprocal, like this:
13 ÷ 5 = 2.6
Reciprocal of 5/13 = 2.6
Tip: As you may have inferred from our tutorial above, you can quickly get the reciprocal of any fraction, such as 5/13, by switching the numerator and the denominator.
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Reciprocal of 5/14
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