What is the reciprocal of 4/9? Here we will define reciprocal of 4/9, and show you how to calculate the reciprocal of 4/9 in fraction form and decimal form.
The reciprocal of 4/9 is a fraction or a number that when multiplied by 4/9 is equal to 1. To get the reciprocal of 4/9 based on that definition, we can make the following equation where "R" is the reciprocal of 4/9.
(4/9) × R = 1
When we solve for R, we get the answer to the reciprocal of 4/9 as a fraction as follows:
(4/9) × R = 1
R = 9/4
Reciprocal of 4/9 = 9/4
You can check that the answer is correct by confirming that 4/9 times the reciprocal of 4/9 is equal to 1, like this:
4/9 × 9/4 = 1
To find the decimal answer to the reciprocal of 4/9, you divide the numerator of the reciprocal by the demoninator of the reciprocal, like this:
9 ÷ 4 = 2.25
Reciprocal of 4/9 = 2.25
Tip: As you may have inferred from our tutorial above, you can quickly get the reciprocal of any fraction, such as 4/9, by switching the numerator and the denominator.
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Reciprocal of 4/10
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