To convert 4 hours and 45 minutes to a fraction, we need to first convert the minutes to hours by dividing by 60 and then add the result to the 4 hours.
4 hours and 45 minutes = 4 + 45/60 hours = 4 + 0.75 hours
Now, we can write this as a fraction by expressing the decimal part as a fraction:
4 + 0.75 = 4 + 3/4 = (4*4 + 3)/4 = 19/4
Therefore, 4 hours and 45 minutes is equal to 19/4 when expressed as a fraction in simplest form.
The answer is (B) 4 3/4.