Step 1:
The first step to converting 983.6825 to a fraction is to re-write 983.6825 in the form p/q where p and q are both positive integers. To start with, 983.6825 can be written as simply 983.6825/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 983.6825, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 983.6825/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 983.6825/1 each by 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 983.6825 as a fraction:
21641/22 / 1