How to convert 564.45125 as a fraction

Question: What is 564.45125 as a fraction?


Answer: 564.45125 as a fraction is 17498/31


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How to convert 564.45125 as a fraction?

Solution:564.45125 as a fraction is 17498/31

Step 1:

The first step to converting 564.45125 to a fraction is to re-write 564.45125 in the form p/q where p and q are both positive integers. To start with, 564.45125 can be written as simply 564.45125/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 564.45125, which in this case is 5. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 564.45125/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 564.45125/1 each by 100000:

56445125/10 / 100000/10 = 56445125 / 100000

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 564.45125 as a fraction:

17498/31 / 1

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