How to convert 34.831781234956 as a fraction

Question: What is 34.831781234956 as a fraction?


Answer: 34.831781234956 as a fraction is 3727/107


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How to convert 34.831781234956 as a fraction?

Solution:34.831781234956 as a fraction is 3727/107

Step 1:

The first step to converting 34.831781234956 to a fraction is to re-write 34.831781234956 in the form p/q where p and q are both positive integers. To start with, 34.831781234956 can be written as simply 34.831781234956/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 34.831781234956, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 34.831781234956/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 34.831781234956/1 each by 1000000000000:

34831781234956/10 / 1000000000000/10 = 34831781234956 / 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 34.831781234956 as a fraction:

3727/107 / 1

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