How to convert 564.14122302355 as a fraction

Question: What is 564.14122302355 as a fraction?


Answer: 564.14122302355 as a fraction is 47952/85


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How to convert 564.14122302355 as a fraction?

Solution:564.14122302355 as a fraction is 47952/85

Step 1:

The first step to converting 564.14122302355 to a fraction is to re-write 564.14122302355 in the form p/q where p and q are both positive integers. To start with, 564.14122302355 can be written as simply 564.14122302355/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 564.14122302355, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 564.14122302355/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 564.14122302355/1 each by 100000000000:

56414122302355/10 / 100000000000/10 = 56414122302355 / 100000000000

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 564.14122302355 as a fraction:

47952/85 / 1

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