Reciprocal of 2/3

What is the reciprocal of 2/3? Here we will define reciprocal of 2/3, and show you how to calculate the reciprocal of 2/3 in fraction form and decimal form.

The reciprocal of 2/3 is a fraction or a number that when multiplied by 2/3 is equal to 1. To get the reciprocal of 2/3 based on that definition, we can make the following equation where "R" is the reciprocal of 2/3.

(2/3) × R = 1

When we solve for R, we get the answer to the reciprocal of 2/3 as a fraction as follows:

(2/3) × R = 1
R = 3/2
Reciprocal of 2/3 = 3/2

You can check that the answer is correct by confirming that 2/3 times the reciprocal of 2/3 is equal to 1, like this:

2/3 × 3/2 = 1

To find the decimal answer to the reciprocal of 2/3, you divide the numerator of the reciprocal by the demoninator of the reciprocal, like this:

3 ÷ 2 = 1.5
Reciprocal of 2/3 = 1.5

Tip: As you may have inferred from our tutorial above, you can quickly get the reciprocal of any fraction, such as 2/3, by switching the numerator and the denominator.

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