How to convert 767.13408519585 as a fraction

Question: What is 767.13408519585 as a fraction?


Answer: 767.13408519585 as a fraction is 11507/15


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How to convert 767.13408519585 as a fraction?

Solution:767.13408519585 as a fraction is 11507/15

Step 1:

The first step to converting 767.13408519585 to a fraction is to re-write 767.13408519585 in the form p/q where p and q are both positive integers. To start with, 767.13408519585 can be written as simply 767.13408519585/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 767.13408519585, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 767.13408519585/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 767.13408519585/1 each by 100000000000:

76713408519585/10 / 100000000000/10 = 76713408519585 / 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 767.13408519585 as a fraction:

11507/15 / 1

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