How to convert 972.16132812347 as a fraction

Question: What is 972.16132812347 as a fraction?


Answer: 972.16132812347 as a fraction is 30137/31


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How to convert 972.16132812347 as a fraction?

Solution:972.16132812347 as a fraction is 30137/31

Step 1:

The first step to converting 972.16132812347 to a fraction is to re-write 972.16132812347 in the form p/q where p and q are both positive integers. To start with, 972.16132812347 can be written as simply 972.16132812347/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 972.16132812347, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 972.16132812347/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 972.16132812347/1 each by 100000000000:

97216132812347/10 / 100000000000/10 = 97216132812347 / 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 972.16132812347 as a fraction:

30137/31 / 1

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