Step 1:
The first step to converting 583.3634765568 to a fraction is to re-write 583.3634765568 in the form p/q where p and q are both positive integers. To start with, 583.3634765568 can be written as simply 583.3634765568/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 583.3634765568, which in this case is 10. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 583.3634765568/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 583.3634765568/1 each by 10000000000:
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 583.3634765568 as a fraction:
6417/11 / 1