How to convert 107.28516678701 as a fraction

Question: What is 107.28516678701 as a fraction?


Answer: 107.28516678701 as a fraction is 27465/256


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How to convert 107.28516678701 as a fraction?

Solution:107.28516678701 as a fraction is 27465/256

Step 1:

The first step to converting 107.28516678701 to a fraction is to re-write 107.28516678701 in the form p/q where p and q are both positive integers. To start with, 107.28516678701 can be written as simply 107.28516678701/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 107.28516678701, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 107.28516678701/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 107.28516678701/1 each by 100000000000:

10728516678701/10 / 100000000000/10 = 10728516678701 / 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 107.28516678701 as a fraction:

27465/256 / 1

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