Step 1:
The first step to converting 72.538189338117 to a fraction is to re-write 72.538189338117 in the form p/q where p and q are both positive integers. To start with, 72.538189338117 can be written as simply 72.538189338117/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 72.538189338117, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 72.538189338117/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 72.538189338117/1 each by 1000000000000:
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 72.538189338117 as a fraction:
19948/275 / 1