Step 1:
The first step to converting 11777.490498334 to a fraction is to re-write 11777.490498334 in the form p/q where p and q are both positive integers. To start with, 11777.490498334 can be written as simply 11777.490498334/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 11777.490498334, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 11777.490498334/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 11777.490498334/1 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 11777.490498334 as a fraction:
23555/2 / 1