Step 1:
The first step to converting 16684.638888734 to a fraction is to re-write 16684.638888734 in the form p/q where p and q are both positive integers. To start with, 16684.638888734 can be written as simply 16684.638888734/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 16684.638888734, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 16684.638888734/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 16684.638888734/1 each by 1000000000:
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 16684.638888734 as a fraction:
183531/11 / 1