How to convert 31.09726784706 as a fraction

Question: What is 31.09726784706 as a fraction?


Answer: 31.09726784706 as a fraction is 7992/257


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How to convert 31.09726784706 as a fraction?

Solution:31.09726784706 as a fraction is 7992/257

Step 1:

The first step to converting 31.09726784706 to a fraction is to re-write 31.09726784706 in the form p/q where p and q are both positive integers. To start with, 31.09726784706 can be written as simply 31.09726784706/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 31.09726784706, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 31.09726784706/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 31.09726784706/1 each by 100000000000:

3109726784706/10 / 100000000000/10 = 3109726784706 / 100000000000

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 31.09726784706 as a fraction:

7992/257 / 1

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