How to convert 762.78749999815 as a fraction

Question: What is 762.78749999815 as a fraction?


Answer: 762.78749999815 as a fraction is 25172/33


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How to convert 762.78749999815 as a fraction?

Solution:762.78749999815 as a fraction is 25172/33

Step 1:

The first step to converting 762.78749999815 to a fraction is to re-write 762.78749999815 in the form p/q where p and q are both positive integers. To start with, 762.78749999815 can be written as simply 762.78749999815/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 762.78749999815, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 762.78749999815/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 762.78749999815/1 each by 100000000000:

76278749999815/10 / 100000000000/10 = 76278749999815 / 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 762.78749999815 as a fraction:

25172/33 / 1

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