How to convert 359.91338835355 as a fraction

Question: What is 359.91338835355 as a fraction?


Answer: 359.91338835355 as a fraction is 8278/23


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How to convert 359.91338835355 as a fraction?

Solution:359.91338835355 as a fraction is 8278/23

Step 1:

The first step to converting 359.91338835355 to a fraction is to re-write 359.91338835355 in the form p/q where p and q are both positive integers. To start with, 359.91338835355 can be written as simply 359.91338835355/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 359.91338835355, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 359.91338835355/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 359.91338835355/1 each by 100000000000:

35991338835355/10 / 100000000000/10 = 35991338835355 / 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 359.91338835355 as a fraction:

8278/23 / 1

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