How to convert 118.38252586538 as a fraction

Question: What is 118.38252586538 as a fraction?


Answer: 118.38252586538 as a fraction is 17639/149


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How to convert 118.38252586538 as a fraction?

Solution:118.38252586538 as a fraction is 17639/149

Step 1:

The first step to converting 118.38252586538 to a fraction is to re-write 118.38252586538 in the form p/q where p and q are both positive integers. To start with, 118.38252586538 can be written as simply 118.38252586538/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 118.38252586538, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 118.38252586538/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 118.38252586538/1 each by 100000000000:

11838252586538/10 / 100000000000/10 = 11838252586538 / 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 118.38252586538 as a fraction:

17639/149 / 1

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