Step 1:
The first step to converting 7689.459138716 to a fraction is to re-write 7689.459138716 in the form p/q where p and q are both positive integers. To start with, 7689.459138716 can be written as simply 7689.459138716/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 7689.459138716, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 7689.459138716/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 7689.459138716/1 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 7689.459138716 as a fraction:
84584/11 / 1