How to convert 505.21757812525 as a fraction

Question: What is 505.21757812525 as a fraction?


Answer: 505.21757812525 as a fraction is 11620/23


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How to convert 505.21757812525 as a fraction?

Solution:505.21757812525 as a fraction is 11620/23

Step 1:

The first step to converting 505.21757812525 to a fraction is to re-write 505.21757812525 in the form p/q where p and q are both positive integers. To start with, 505.21757812525 can be written as simply 505.21757812525/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 505.21757812525, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 505.21757812525/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 505.21757812525/1 each by 100000000000:

50521757812525/10 / 100000000000/10 = 50521757812525 / 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 505.21757812525 as a fraction:

11620/23 / 1

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