How to convert 77.756938738635 as a fraction

Question: What is 77.756938738635 as a fraction?


Answer: 77.756938738635 as a fraction is 11197/144


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How to convert 77.756938738635 as a fraction?

Solution:77.756938738635 as a fraction is 11197/144

Step 1:

The first step to converting 77.756938738635 to a fraction is to re-write 77.756938738635 in the form p/q where p and q are both positive integers. To start with, 77.756938738635 can be written as simply 77.756938738635/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 77.756938738635, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 77.756938738635/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 77.756938738635/1 each by 1000000000000:

77756938738635/10 / 1000000000000/10 = 77756938738635 / 1000000000000

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 77.756938738635 as a fraction:

11197/144 / 1

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