What is the reciprocal of 7/24? Here we will define reciprocal of 7/24, and show you how to calculate the reciprocal of 7/24 in fraction form and decimal form.
The reciprocal of 7/24 is a fraction or a number that when multiplied by 7/24 is equal to 1. To get the reciprocal of 7/24 based on that definition, we can make the following equation where "R" is the reciprocal of 7/24.
(7/24) × R = 1
When we solve for R, we get the answer to the reciprocal of 7/24 as a fraction as follows:
(7/24) × R = 1
R = 24/7
Reciprocal of 7/24 = 24/7
You can check that the answer is correct by confirming that 7/24 times the reciprocal of 7/24 is equal to 1, like this:
7/24 × 24/7 = 1
To find the decimal answer to the reciprocal of 7/24, you divide the numerator of the reciprocal by the demoninator of the reciprocal, like this:
24 ÷ 7 ≈ 3.428571428571
Reciprocal of 7/24 ≈ 3.428571428571
Tip: As you may have inferred from our tutorial above, you can quickly get the reciprocal of any fraction, such as 7/24, by switching the numerator and the denominator.
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