How to convert 958.35518168165 as a fraction

Question: What is 958.35518168165 as a fraction?


Answer: 958.35518168165 as a fraction is 29709/31


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How to convert 958.35518168165 as a fraction?

Solution:958.35518168165 as a fraction is 29709/31

Step 1:

The first step to converting 958.35518168165 to a fraction is to re-write 958.35518168165 in the form p/q where p and q are both positive integers. To start with, 958.35518168165 can be written as simply 958.35518168165/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 958.35518168165, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 958.35518168165/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 958.35518168165/1 each by 100000000000:

95835518168165/10 / 100000000000/10 = 95835518168165 / 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 958.35518168165 as a fraction:

29709/31 / 1

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