How to convert 108.49770845411 as a fraction

Question: What is 108.49770845411 as a fraction?


Answer: 108.49770845411 as a fraction is 23544/217


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How to convert 108.49770845411 as a fraction?

Solution:108.49770845411 as a fraction is 23544/217

Step 1:

The first step to converting 108.49770845411 to a fraction is to re-write 108.49770845411 in the form p/q where p and q are both positive integers. To start with, 108.49770845411 can be written as simply 108.49770845411/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 108.49770845411, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 108.49770845411/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 108.49770845411/1 each by 100000000000:

10849770845411/10 / 100000000000/10 = 10849770845411 / 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 108.49770845411 as a fraction:

23544/217 / 1

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