How to convert 79.7825 as a fraction

Question: What is 79.7825 as a fraction?


Answer: 79.7825 as a fraction is 30078/377


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How to convert 79.7825 as a fraction?

Solution:79.7825 as a fraction is 30078/377

Step 1:

The first step to converting 79.7825 to a fraction is to re-write 79.7825 in the form p/q where p and q are both positive integers. To start with, 79.7825 can be written as simply 79.7825/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 79.7825, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 79.7825/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 79.7825/1 each by 10000:

797825/10 / 10000/10 = 797825 / 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 79.7825 as a fraction:

30078/377 / 1

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