Step 1:
The first step to converting 13166.8835729 to a fraction is to re-write 13166.8835729 in the form p/q where p and q are both positive integers. To start with, 13166.8835729 can be written as simply 13166.8835729/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 13166.8835729, which in this case is 7. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 13166.8835729/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 13166.8835729/1 each by 10000000:
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 13166.8835729 as a fraction:
105335/8 / 1