How to convert 0.31526367120756 as a fraction

Question: What is 0.31526367120756 as a fraction?


Answer: 0.31526367120756 as a fraction is 221/701


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How to convert 0.31526367120756 as a fraction?

Solution:0.31526367120756 as a fraction is 221/701

Step 1:

The first step to converting 0.31526367120756 to a fraction is to re-write 0.31526367120756 in the form p/q where p and q are both positive integers. To start with, 0.31526367120756 can be written as simply 0.31526367120756/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 0.31526367120756, which in this case is 14. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 0.31526367120756/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 0.31526367120756/1 each by 100000000000000:

031526367120756/10 / 100000000000000/10 = 031526367120756 / 100000000000000

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 0.31526367120756 as a fraction:

221/701 / 1

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