Step 1:
The first step to converting 27638.330078114 to a fraction is to re-write 27638.330078114 in the form p/q where p and q are both positive integers. To start with, 27638.330078114 can be written as simply 27638.330078114/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 27638.330078114, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 27638.330078114/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 27638.330078114/1 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 27638.330078114 as a fraction:
82915/3 / 1