How to convert 108.13778320311 as a fraction

Question: What is 108.13778320311 as a fraction?


Answer: 108.13778320311 as a fraction is 24331/225


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How to convert 108.13778320311 as a fraction?

Solution:108.13778320311 as a fraction is 24331/225

Step 1:

The first step to converting 108.13778320311 to a fraction is to re-write 108.13778320311 in the form p/q where p and q are both positive integers. To start with, 108.13778320311 can be written as simply 108.13778320311/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 108.13778320311, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 108.13778320311/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 108.13778320311/1 each by 100000000000:

10813778320311/10 / 100000000000/10 = 10813778320311 / 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 108.13778320311 as a fraction:

24331/225 / 1

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