Step 1:
The first step to converting 11865.176294574 to a fraction is to re-write 11865.176294574 in the form p/q where p and q are both positive integers. To start with, 11865.176294574 can be written as simply 11865.176294574/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 11865.176294574, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 11865.176294574/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 11865.176294574/1 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 11865.176294574 as a fraction:
71191/6 / 1