Step 1:
The first step to converting 31186.498260221 to a fraction is to re-write 31186.498260221 in the form p/q where p and q are both positive integers. To start with, 31186.498260221 can be written as simply 31186.498260221/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 31186.498260221, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 31186.498260221/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 31186.498260221/1 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 31186.498260221 as a fraction:
62373/2 / 1