Step 1:
The first step to converting 7728.27644921 to a fraction is to re-write 7728.27644921 in the form p/q where p and q are both positive integers. To start with, 7728.27644921 can be written as simply 7728.27644921/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 7728.27644921, which in this case is 8. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 7728.27644921/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 7728.27644921/1 each by 100000000:
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 7728.27644921 as a fraction:
85011/11 / 1