Step 1:
The first step to converting 2565.8384765568 to a fraction is to re-write 2565.8384765568 in the form p/q where p and q are both positive integers. To start with, 2565.8384765568 can be written as simply 2565.8384765568/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 2565.8384765568, which in this case is 10. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 2565.8384765568/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 2565.8384765568/1 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 2565.8384765568 as a fraction:
79541/31 / 1