What is the reciprocal of 40/3? Here we will define reciprocal of 40/3, and show you how to calculate the reciprocal of 40/3 in fraction form and decimal form.
The reciprocal of 40/3 is a fraction or a number that when multiplied by 40/3 is equal to 1. To get the reciprocal of 40/3 based on that definition, we can make the following equation where "R" is the reciprocal of 40/3.
(40/3) × R = 1
When we solve for R, we get the answer to the reciprocal of 40/3 as a fraction as follows:
(40/3) × R = 1
R = 3/40
Reciprocal of 40/3 = 3/40
You can check that the answer is correct by confirming that 40/3 times the reciprocal of 40/3 is equal to 1, like this:
40/3 × 3/40 = 1
To find the decimal answer to the reciprocal of 40/3, you divide the numerator of the reciprocal by the demoninator of the reciprocal, like this:
3 ÷ 40 = 0.075
Reciprocal of 40/3 = 0.075
Tip: As you may have inferred from our tutorial above, you can quickly get the reciprocal of any fraction, such as 40/3, by switching the numerator and the denominator.
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