Step 1:
The first step to converting 4159.189184566 to a fraction is to re-write 4159.189184566 in the form p/q where p and q are both positive integers. To start with, 4159.189184566 can be written as simply 4159.189184566/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 4159.189184566, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 4159.189184566/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 4159.189184566/1 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 4159.189184566 as a fraction:
66547/16 / 1