Step 1:
The first step to converting 8202.8201171142 to a fraction is to re-write 8202.8201171142 in the form p/q where p and q are both positive integers. To start with, 8202.8201171142 can be written as simply 8202.8201171142/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 8202.8201171142, which in this case is 10. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 8202.8201171142/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 8202.8201171142/1 each by 10000000000:
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 8202.8201171142 as a fraction:
90231/11 / 1