How to convert 87.356785714281 as a fraction

Question: What is 87.356785714281 as a fraction?


Answer: 87.356785714281 as a fraction is 17384/199


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How to convert 87.356785714281 as a fraction?

Solution:87.356785714281 as a fraction is 17384/199

Step 1:

The first step to converting 87.356785714281 to a fraction is to re-write 87.356785714281 in the form p/q where p and q are both positive integers. To start with, 87.356785714281 can be written as simply 87.356785714281/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 87.356785714281, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 87.356785714281/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 87.356785714281/1 each by 1000000000000:

87356785714281/10 / 1000000000000/10 = 87356785714281 / 1000000000000

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 87.356785714281 as a fraction:

17384/199 / 1

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