How to convert 502.78250455625 as a fraction

Question: What is 502.78250455625 as a fraction?


Answer: 502.78250455625 as a fraction is 11564/23


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How to convert 502.78250455625 as a fraction?

Solution:502.78250455625 as a fraction is 11564/23

Step 1:

The first step to converting 502.78250455625 to a fraction is to re-write 502.78250455625 in the form p/q where p and q are both positive integers. To start with, 502.78250455625 can be written as simply 502.78250455625/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 502.78250455625, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 502.78250455625/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 502.78250455625/1 each by 100000000000:

50278250455625/10 / 100000000000/10 = 50278250455625 / 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 502.78250455625 as a fraction:

11564/23 / 1

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