How to convert 77.822366281131 as a fraction

Question: What is 77.822366281131 as a fraction?


Answer: 77.822366281131 as a fraction is 11829/152


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How to convert 77.822366281131 as a fraction?

Solution:77.822366281131 as a fraction is 11829/152

Step 1:

The first step to converting 77.822366281131 to a fraction is to re-write 77.822366281131 in the form p/q where p and q are both positive integers. To start with, 77.822366281131 can be written as simply 77.822366281131/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 77.822366281131, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 77.822366281131/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 77.822366281131/1 each by 1000000000000:

77822366281131/10 / 1000000000000/10 = 77822366281131 / 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 77.822366281131 as a fraction:

11829/152 / 1

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