What is the reciprocal of 7/8? Here we will define reciprocal of 7/8, and show you how to calculate the reciprocal of 7/8 in fraction form and decimal form.
The reciprocal of 7/8 is a fraction or a number that when multiplied by 7/8 is equal to 1. To get the reciprocal of 7/8 based on that definition, we can make the following equation where "R" is the reciprocal of 7/8.
(7/8) × R = 1
When we solve for R, we get the answer to the reciprocal of 7/8 as a fraction as follows:
(7/8) × R = 1
R = 8/7
Reciprocal of 7/8 = 8/7
You can check that the answer is correct by confirming that 7/8 times the reciprocal of 7/8 is equal to 1, like this:
7/8 × 8/7 = 1
To find the decimal answer to the reciprocal of 7/8, you divide the numerator of the reciprocal by the demoninator of the reciprocal, like this:
8 ÷ 7 ≈ 1.142857142857
Reciprocal of 7/8 ≈ 1.142857142857
Tip: As you may have inferred from our tutorial above, you can quickly get the reciprocal of any fraction, such as 7/8, by switching the numerator and the denominator.
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Reciprocal of 7/9
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