Step 1:
The first step to converting 9586.82188 to a fraction is to re-write 9586.82188 in the form p/q where p and q are both positive integers. To start with, 9586.82188 can be written as simply 9586.82188/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 9586.82188, which in this case is 5. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 9586.82188/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 9586.82188/1 each by 100000:
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 9586.82188 as a fraction:
105455/11 / 1