How to convert 360.65628384258 as a fraction

Question: What is 360.65628384258 as a fraction?


Answer: 360.65628384258 as a fraction is 11541/32


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How to convert 360.65628384258 as a fraction?

Solution:360.65628384258 as a fraction is 11541/32

Step 1:

The first step to converting 360.65628384258 to a fraction is to re-write 360.65628384258 in the form p/q where p and q are both positive integers. To start with, 360.65628384258 can be written as simply 360.65628384258/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 360.65628384258, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 360.65628384258/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 360.65628384258/1 each by 100000000000:

36065628384258/10 / 100000000000/10 = 36065628384258 / 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 360.65628384258 as a fraction:

11541/32 / 1

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