How to convert 360.78525826446 as a fraction

Question: What is 360.78525826446 as a fraction?


Answer: 360.78525826446 as a fraction is 53757/149


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How to convert 360.78525826446 as a fraction?

Solution:360.78525826446 as a fraction is 53757/149

Step 1:

The first step to converting 360.78525826446 to a fraction is to re-write 360.78525826446 in the form p/q where p and q are both positive integers. To start with, 360.78525826446 can be written as simply 360.78525826446/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 360.78525826446, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 360.78525826446/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 360.78525826446/1 each by 100000000000:

36078525826446/10 / 100000000000/10 = 36078525826446 / 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 360.78525826446 as a fraction:

53757/149 / 1

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