What is the reciprocal of 49/40? Here we will define reciprocal of 49/40, and show you how to calculate the reciprocal of 49/40 in fraction form and decimal form.
The reciprocal of 49/40 is a fraction or a number that when multiplied by 49/40 is equal to 1. To get the reciprocal of 49/40 based on that definition, we can make the following equation where "R" is the reciprocal of 49/40.
(49/40) × R = 1
When we solve for R, we get the answer to the reciprocal of 49/40 as a fraction as follows:
(49/40) × R = 1
R = 40/49
Reciprocal of 49/40 = 40/49
You can check that the answer is correct by confirming that 49/40 times the reciprocal of 49/40 is equal to 1, like this:
49/40 × 40/49 = 1
To find the decimal answer to the reciprocal of 49/40, you divide the numerator of the reciprocal by the demoninator of the reciprocal, like this:
40 ÷ 49 ≈ 0.816326530612
Reciprocal of 49/40 ≈ 0.816326530612
Tip: As you may have inferred from our tutorial above, you can quickly get the reciprocal of any fraction, such as 49/40, by switching the numerator and the denominator.
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Reciprocal of 49/41
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