What is the reciprocal of 5/9? Here we will define reciprocal of 5/9, and show you how to calculate the reciprocal of 5/9 in fraction form and decimal form.
The reciprocal of 5/9 is a fraction or a number that when multiplied by 5/9 is equal to 1. To get the reciprocal of 5/9 based on that definition, we can make the following equation where "R" is the reciprocal of 5/9.
(5/9) × R = 1
When we solve for R, we get the answer to the reciprocal of 5/9 as a fraction as follows:
(5/9) × R = 1
R = 9/5
Reciprocal of 5/9 = 9/5
You can check that the answer is correct by confirming that 5/9 times the reciprocal of 5/9 is equal to 1, like this:
5/9 × 9/5 = 1
To find the decimal answer to the reciprocal of 5/9, you divide the numerator of the reciprocal by the demoninator of the reciprocal, like this:
9 ÷ 5 = 1.8
Reciprocal of 5/9 = 1.8
Tip: As you may have inferred from our tutorial above, you can quickly get the reciprocal of any fraction, such as 5/9, by switching the numerator and the denominator.
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Reciprocal of 5/10
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