How to convert 563.6415 as a fraction

Question: What is 563.6415 as a fraction?


Answer: 563.6415 as a fraction is 21982/39


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How to convert 563.6415 as a fraction?

Solution:563.6415 as a fraction is 21982/39

Step 1:

The first step to converting 563.6415 to a fraction is to re-write 563.6415 in the form p/q where p and q are both positive integers. To start with, 563.6415 can be written as simply 563.6415/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 563.6415, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 563.6415/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 563.6415/1 each by 10000:

5636415/10 / 10000/10 = 5636415 / 10000

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 563.6415 as a fraction:

21982/39 / 1

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