Step 1:
The first step to converting 11511.382884823 to a fraction is to re-write 11511.382884823 in the form p/q where p and q are both positive integers. To start with, 11511.382884823 can be written as simply 11511.382884823/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 11511.382884823, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 11511.382884823/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 11511.382884823/1 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 11511.382884823 as a fraction:
92091/8 / 1