How to convert 365.20375 as a fraction

Question: What is 365.20375 as a fraction?


Answer: 365.20375 as a fraction is 17895/49


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How to convert 365.20375 as a fraction?

Solution:365.20375 as a fraction is 17895/49

Step 1:

The first step to converting 365.20375 to a fraction is to re-write 365.20375 in the form p/q where p and q are both positive integers. To start with, 365.20375 can be written as simply 365.20375/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 365.20375, which in this case is 5. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 365.20375/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 365.20375/1 each by 100000:

36520375/10 / 100000/10 = 36520375 / 100000

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 365.20375 as a fraction:

17895/49 / 1

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