How to convert 31.145739795873 as a fraction

Question: What is 31.145739795873 as a fraction?


Answer: 31.145739795873 as a fraction is 6198/199


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How to convert 31.145739795873 as a fraction?

Solution:31.145739795873 as a fraction is 6198/199

Step 1:

The first step to converting 31.145739795873 to a fraction is to re-write 31.145739795873 in the form p/q where p and q are both positive integers. To start with, 31.145739795873 can be written as simply 31.145739795873/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 31.145739795873, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 31.145739795873/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 31.145739795873/1 each by 1000000000000:

31145739795873/10 / 1000000000000/10 = 31145739795873 / 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 31.145739795873 as a fraction:

6198/199 / 1

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