What is the reciprocal of 2/5? Here we will define reciprocal of 2/5, and show you how to calculate the reciprocal of 2/5 in fraction form and decimal form.
The reciprocal of 2/5 is a fraction or a number that when multiplied by 2/5 is equal to 1. To get the reciprocal of 2/5 based on that definition, we can make the following equation where "R" is the reciprocal of 2/5.
(2/5) × R = 1
When we solve for R, we get the answer to the reciprocal of 2/5 as a fraction as follows:
(2/5) × R = 1
R = 5/2
Reciprocal of 2/5 = 5/2
You can check that the answer is correct by confirming that 2/5 times the reciprocal of 2/5 is equal to 1, like this:
2/5 × 5/2 = 1
To find the decimal answer to the reciprocal of 2/5, you divide the numerator of the reciprocal by the demoninator of the reciprocal, like this:
5 ÷ 2 = 2.5
Reciprocal of 2/5 = 2.5
Tip: As you may have inferred from our tutorial above, you can quickly get the reciprocal of any fraction, such as 2/5, by switching the numerator and the denominator.
Reciprocal of a fraction
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Reciprocal of 2/6
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