Step 1:
The first step to converting 384.57728456442 to a fraction is to re-write 384.57728456442 in the form p/q where p and q are both positive integers. To start with, 384.57728456442 can be written as simply 384.57728456442/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 384.57728456442, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 384.57728456442/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 384.57728456442/1 each by 100000000000:
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 384.57728456442 as a fraction:
9999/26 / 1