How to convert 108.14400745543 as a fraction

Question: What is 108.14400745543 as a fraction?


Answer: 108.14400745543 as a fraction is 12761/118


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How to convert 108.14400745543 as a fraction?

Solution:108.14400745543 as a fraction is 12761/118

Step 1:

The first step to converting 108.14400745543 to a fraction is to re-write 108.14400745543 in the form p/q where p and q are both positive integers. To start with, 108.14400745543 can be written as simply 108.14400745543/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 108.14400745543, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 108.14400745543/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 108.14400745543/1 each by 100000000000:

10814400745543/10 / 100000000000/10 = 10814400745543 / 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 108.14400745543 as a fraction:

12761/118 / 1

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