Step 1:
The first step to converting 12686.8275 to a fraction is to re-write 12686.8275 in the form p/q where p and q are both positive integers. To start with, 12686.8275 can be written as simply 12686.8275/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 12686.8275, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 12686.8275/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 12686.8275/1 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 12686.8275 as a fraction:
76121/6 / 1