How to convert 809.3125 as a fraction

Question: What is 809.3125 as a fraction?


Answer: 809.3125 as a fraction is 12949/16


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How to convert 809.3125 as a fraction?

Solution:809.3125 as a fraction is 12949/16

Step 1:

The first step to converting 809.3125 to a fraction is to re-write 809.3125 in the form p/q where p and q are both positive integers. To start with, 809.3125 can be written as simply 809.3125/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 809.3125, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 809.3125/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 809.3125/1 each by 10000:

8093125/10 / 10000/10 = 8093125 / 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 809.3125 as a fraction:

12949/16 / 1

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