What is the reciprocal of 7/4? Here we will define reciprocal of 7/4, and show you how to calculate the reciprocal of 7/4 in fraction form and decimal form.
The reciprocal of 7/4 is a fraction or a number that when multiplied by 7/4 is equal to 1. To get the reciprocal of 7/4 based on that definition, we can make the following equation where "R" is the reciprocal of 7/4.
(7/4) × R = 1
When we solve for R, we get the answer to the reciprocal of 7/4 as a fraction as follows:
(7/4) × R = 1
R = 4/7
Reciprocal of 7/4 = 4/7
You can check that the answer is correct by confirming that 7/4 times the reciprocal of 7/4 is equal to 1, like this:
7/4 × 4/7 = 1
To find the decimal answer to the reciprocal of 7/4, you divide the numerator of the reciprocal by the demoninator of the reciprocal, like this:
4 ÷ 7 ≈ 0.571428571429
Reciprocal of 7/4 ≈ 0.571428571429
Tip: As you may have inferred from our tutorial above, you can quickly get the reciprocal of any fraction, such as 7/4, by switching the numerator and the denominator.
Reciprocal of a fraction
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Reciprocal of 7/5
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