How to convert 766.42281249919 as a fraction

Question: What is 766.42281249919 as a fraction?


Answer: 766.42281249919 as a fraction is 19927/26


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How to convert 766.42281249919 as a fraction?

Solution:766.42281249919 as a fraction is 19927/26

Step 1:

The first step to converting 766.42281249919 to a fraction is to re-write 766.42281249919 in the form p/q where p and q are both positive integers. To start with, 766.42281249919 can be written as simply 766.42281249919/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 766.42281249919, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 766.42281249919/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 766.42281249919/1 each by 100000000000:

76642281249919/10 / 100000000000/10 = 76642281249919 / 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 766.42281249919 as a fraction:

19927/26 / 1

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