What is the reciprocal of 3/2? Here we will define reciprocal of 3/2, and show you how to calculate the reciprocal of 3/2 in fraction form and decimal form.
The reciprocal of 3/2 is a fraction or a number that when multiplied by 3/2 is equal to 1. To get the reciprocal of 3/2 based on that definition, we can make the following equation where "R" is the reciprocal of 3/2.
(3/2) × R = 1
When we solve for R, we get the answer to the reciprocal of 3/2 as a fraction as follows:
(3/2) × R = 1
R = 2/3
Reciprocal of 3/2 = 2/3
You can check that the answer is correct by confirming that 3/2 times the reciprocal of 3/2 is equal to 1, like this:
3/2 × 2/3 = 1
To find the decimal answer to the reciprocal of 3/2, you divide the numerator of the reciprocal by the demoninator of the reciprocal, like this:
2 ÷ 3 ≈ 0.666666666667
Reciprocal of 3/2 ≈ 0.666666666667
Tip: As you may have inferred from our tutorial above, you can quickly get the reciprocal of any fraction, such as 3/2, by switching the numerator and the denominator.
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Reciprocal of 3/3
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