Step 1:
The first step to converting 31166.930790498 to a fraction is to re-write 31166.930790498 in the form p/q where p and q are both positive integers. To start with, 31166.930790498 can be written as simply 31166.930790498/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 31166.930790498, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 31166.930790498/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 31166.930790498/1 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 31166.930790498 as a fraction:
436337/14 / 1