Step 1:
The first step to converting 11664.166428516 to a fraction is to re-write 11664.166428516 in the form p/q where p and q are both positive integers. To start with, 11664.166428516 can be written as simply 11664.166428516/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 11664.166428516, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 11664.166428516/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 11664.166428516/1 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 11664.166428516 as a fraction:
69985/6 / 1