Step 1:
The first step to converting 13.75687 to a fraction is to re-write 13.75687 in the form p/q where p and q are both positive integers. To start with, 13.75687 can be written as simply 13.75687/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 13.75687, which in this case is 5. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 13.75687/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 13.75687/1 each by 100000:
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 13.75687 as a fraction:
2999/218 / 1