How to convert 8.76923125 as a fraction

Question: What is 8.76923125 as a fraction?


Answer: 8.76923125 as a fraction is 114/13


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How to convert 8.76923125 as a fraction?

Solution:8.76923125 as a fraction is 114/13

Step 1:

The first step to converting 8.76923125 to a fraction is to re-write 8.76923125 in the form p/q where p and q are both positive integers. To start with, 8.76923125 can be written as simply 8.76923125/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 8.76923125, which in this case is 8. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 8.76923125/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 8.76923125/1 each by 100000000:

876923125/10 / 100000000/10 = 876923125 / 100000000

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 8.76923125 as a fraction:

114/13 / 1

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