How to convert 540.9724218749 as a fraction

Question: What is 540.9724218749 as a fraction?


Answer: 540.9724218749 as a fraction is 19475/36


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How to convert 540.9724218749 as a fraction?

Solution:540.9724218749 as a fraction is 19475/36

Step 1:

The first step to converting 540.9724218749 to a fraction is to re-write 540.9724218749 in the form p/q where p and q are both positive integers. To start with, 540.9724218749 can be written as simply 540.9724218749/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 540.9724218749, which in this case is 10. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 540.9724218749/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 540.9724218749/1 each by 10000000000:

5409724218749/10 / 10000000000/10 = 5409724218749 / 10000000000

Step 3:

Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out, which leads to the following answer for 540.9724218749 as a fraction:

19475/36 / 1

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