Step 1:
The first step to converting 9872.820000013 to a fraction is to re-write 9872.820000013 in the form p/q where p and q are both positive integers. To start with, 9872.820000013 can be written as simply 9872.820000013/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 9872.820000013, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 9872.820000013/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 9872.820000013/1 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 9872.820000013 as a fraction:
108601/11 / 1