How to convert 77.8275 as a fraction

Question: What is 77.8275 as a fraction?


Answer: 77.8275 as a fraction is 31131/400


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How to convert 77.8275 as a fraction?

Solution:77.8275 as a fraction is 31131/400

Step 1:

The first step to converting 77.8275 to a fraction is to re-write 77.8275 in the form p/q where p and q are both positive integers. To start with, 77.8275 can be written as simply 77.8275/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 77.8275, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 77.8275/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 77.8275/1 each by 10000:

778275/10 / 10000/10 = 778275 / 10000

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 77.8275 as a fraction:

31131/400 / 1

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