How to convert 971.21742715475 as a fraction

Question: What is 971.21742715475 as a fraction?


Answer: 971.21742715475 as a fraction is 22338/23


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How to convert 971.21742715475 as a fraction?

Solution:971.21742715475 as a fraction is 22338/23

Step 1:

The first step to converting 971.21742715475 to a fraction is to re-write 971.21742715475 in the form p/q where p and q are both positive integers. To start with, 971.21742715475 can be written as simply 971.21742715475/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 971.21742715475, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 971.21742715475/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 971.21742715475/1 each by 100000000000:

97121742715475/10 / 100000000000/10 = 97121742715475 / 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 971.21742715475 as a fraction:

22338/23 / 1

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