Step 1:
The first step to converting 11686.269665623 to a fraction is to re-write 11686.269665623 in the form p/q where p and q are both positive integers. To start with, 11686.269665623 can be written as simply 11686.269665623/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 11686.269665623, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 11686.269665623/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 11686.269665623/1 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 11686.269665623 as a fraction:
128549/11 / 1