Step 1:
The first step to converting 102166.22534708 to a fraction is to re-write 102166.22534708 in the form p/q where p and q are both positive integers. To start with, 102166.22534708 can be written as simply 102166.22534708/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 102166.22534708, which in this case is 8. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 102166.22534708/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 102166.22534708/1 each by 100000000:
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 102166.22534708 as a fraction:
408665/4 / 1