Step 1:
The first step to converting 11779.725 to a fraction is to re-write 11779.725 in the form p/q where p and q are both positive integers. To start with, 11779.725 can be written as simply 11779.725/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 11779.725, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 11779.725/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 11779.725/1 each by 1000:
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 11779.725 as a fraction:
82458/7 / 1