How to convert 822.3125 as a fraction

Question: What is 822.3125 as a fraction?


Answer: 822.3125 as a fraction is 13157/16


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How to convert 822.3125 as a fraction?

Solution:822.3125 as a fraction is 13157/16

Step 1:

The first step to converting 822.3125 to a fraction is to re-write 822.3125 in the form p/q where p and q are both positive integers. To start with, 822.3125 can be written as simply 822.3125/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 822.3125, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 822.3125/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 822.3125/1 each by 10000:

8223125/10 / 10000/10 = 8223125 / 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 822.3125 as a fraction:

13157/16 / 1

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