How to convert 363.86718749943 as a fraction

Question: What is 363.86718749943 as a fraction?


Answer: 363.86718749943 as a fraction is 46575/128


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How to convert 363.86718749943 as a fraction?

Solution:363.86718749943 as a fraction is 46575/128

Step 1:

The first step to converting 363.86718749943 to a fraction is to re-write 363.86718749943 in the form p/q where p and q are both positive integers. To start with, 363.86718749943 can be written as simply 363.86718749943/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 363.86718749943, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 363.86718749943/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 363.86718749943/1 each by 100000000000:

36386718749943/10 / 100000000000/10 = 36386718749943 / 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 363.86718749943 as a fraction:

46575/128 / 1

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