Step 1:
The first step to converting 31589.089419723 to a fraction is to re-write 31589.089419723 in the form p/q where p and q are both positive integers. To start with, 31589.089419723 can be written as simply 31589.089419723/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 31589.089419723, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 31589.089419723/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 31589.089419723/1 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 31589.089419723 as a fraction:
347480/11 / 1