How to convert 827.9125 as a fraction

Question: What is 827.9125 as a fraction?


Answer: 827.9125 as a fraction is 19042/23


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How to convert 827.9125 as a fraction?

Solution:827.9125 as a fraction is 19042/23

Step 1:

The first step to converting 827.9125 to a fraction is to re-write 827.9125 in the form p/q where p and q are both positive integers. To start with, 827.9125 can be written as simply 827.9125/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 827.9125, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 827.9125/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 827.9125/1 each by 10000:

8279125/10 / 10000/10 = 8279125 / 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 827.9125 as a fraction:

19042/23 / 1

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