How to convert 126.31414489173 as a fraction

Question: What is 126.31414489173 as a fraction?


Answer: 126.31414489173 as a fraction is 24126/191


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How to convert 126.31414489173 as a fraction?

Solution:126.31414489173 as a fraction is 24126/191

Step 1:

The first step to converting 126.31414489173 to a fraction is to re-write 126.31414489173 in the form p/q where p and q are both positive integers. To start with, 126.31414489173 can be written as simply 126.31414489173/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 126.31414489173, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 126.31414489173/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 126.31414489173/1 each by 100000000000:

12631414489173/10 / 100000000000/10 = 12631414489173 / 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 126.31414489173 as a fraction:

24126/191 / 1

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