Step 1:
The first step to converting 2560.8674999837 to a fraction is to re-write 2560.8674999837 in the form p/q where p and q are both positive integers. To start with, 2560.8674999837 can be written as simply 2560.8674999837/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 2560.8674999837, which in this case is 10. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 2560.8674999837/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 2560.8674999837/1 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 2560.8674999837 as a fraction:
38413/15 / 1