How to convert 395.586575358 as a fraction

Question: What is 395.586575358 as a fraction?


Answer: 395.586575358 as a fraction is 11472/29


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How to convert 395.586575358 as a fraction?

Solution:395.586575358 as a fraction is 11472/29

Step 1:

The first step to converting 395.586575358 to a fraction is to re-write 395.586575358 in the form p/q where p and q are both positive integers. To start with, 395.586575358 can be written as simply 395.586575358/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 395.586575358, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 395.586575358/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 395.586575358/1 each by 1000000000:

395586575358/10 / 1000000000/10 = 395586575358 / 1000000000

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 395.586575358 as a fraction:

11472/29 / 1

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