How to convert 118.39318181828 as a fraction

Question: What is 118.39318181828 as a fraction?


Answer: 118.39318181828 as a fraction is 10537/89


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How to convert 118.39318181828 as a fraction?

Solution:118.39318181828 as a fraction is 10537/89

Step 1:

The first step to converting 118.39318181828 to a fraction is to re-write 118.39318181828 in the form p/q where p and q are both positive integers. To start with, 118.39318181828 can be written as simply 118.39318181828/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 118.39318181828, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 118.39318181828/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 118.39318181828/1 each by 100000000000:

11839318181828/10 / 100000000000/10 = 11839318181828 / 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 118.39318181828 as a fraction:

10537/89 / 1

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