How to convert 520.78281249995 as a fraction

Question: What is 520.78281249995 as a fraction?


Answer: 520.78281249995 as a fraction is 11978/23


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How to convert 520.78281249995 as a fraction?

Solution:520.78281249995 as a fraction is 11978/23

Step 1:

The first step to converting 520.78281249995 to a fraction is to re-write 520.78281249995 in the form p/q where p and q are both positive integers. To start with, 520.78281249995 can be written as simply 520.78281249995/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 520.78281249995, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 520.78281249995/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 520.78281249995/1 each by 100000000000:

52078281249995/10 / 100000000000/10 = 52078281249995 / 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 520.78281249995 as a fraction:

11978/23 / 1

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