How to convert 72.7243328125 as a fraction

Question: What is 72.7243328125 as a fraction?


Answer: 72.7243328125 as a fraction is 11345/156


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How to convert 72.7243328125 as a fraction?

Solution:72.7243328125 as a fraction is 11345/156

Step 1:

The first step to converting 72.7243328125 to a fraction is to re-write 72.7243328125 in the form p/q where p and q are both positive integers. To start with, 72.7243328125 can be written as simply 72.7243328125/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 72.7243328125, which in this case is 10. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 72.7243328125/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 72.7243328125/1 each by 10000000000:

727243328125/10 / 10000000000/10 = 727243328125 / 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 72.7243328125 as a fraction:

11345/156 / 1

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