Reciprocal of 6/7

What is the reciprocal of 6/7? Here we will define reciprocal of 6/7, and show you how to calculate the reciprocal of 6/7 in fraction form and decimal form.

The reciprocal of 6/7 is a fraction or a number that when multiplied by 6/7 is equal to 1. To get the reciprocal of 6/7 based on that definition, we can make the following equation where "R" is the reciprocal of 6/7.

(6/7) × R = 1

When we solve for R, we get the answer to the reciprocal of 6/7 as a fraction as follows:

(6/7) × R = 1
R = 7/6
Reciprocal of 6/7 = 7/6

You can check that the answer is correct by confirming that 6/7 times the reciprocal of 6/7 is equal to 1, like this:

6/7 × 7/6 = 1

To find the decimal answer to the reciprocal of 6/7, you divide the numerator of the reciprocal by the demoninator of the reciprocal, like this:

7 ÷ 6 ≈ 1.166666666667
Reciprocal of 6/7 ≈ 1.166666666667

Tip: As you may have inferred from our tutorial above, you can quickly get the reciprocal of any fraction, such as 6/7, by switching the numerator and the denominator.

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