Step 1:
The first step to converting 13813.628939471 to a fraction is to re-write 13813.628939471 in the form p/q where p and q are both positive integers. To start with, 13813.628939471 can be written as simply 13813.628939471/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 13813.628939471, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 13813.628939471/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 13813.628939471/1 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 13813.628939471 as a fraction:
110509/8 / 1