How to convert 975.72966586743 as a fraction

Question: What is 975.72966586743 as a fraction?


Answer: 975.72966586743 as a fraction is 36102/37


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How to convert 975.72966586743 as a fraction?

Solution:975.72966586743 as a fraction is 36102/37

Step 1:

The first step to converting 975.72966586743 to a fraction is to re-write 975.72966586743 in the form p/q where p and q are both positive integers. To start with, 975.72966586743 can be written as simply 975.72966586743/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 975.72966586743, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 975.72966586743/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 975.72966586743/1 each by 100000000000:

97572966586743/10 / 100000000000/10 = 97572966586743 / 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 975.72966586743 as a fraction:

36102/37 / 1

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