Final answer:
To find the fraction of students that are boys, divide the number of boys by the total number of students and simplify the fraction. The fraction of students that are boys is 71/80.
Step-by-step explanation:
To find the fraction of students that are boys, we need to first determine how many boys there are in the school. We are given that there are 320 students in total and 36 more boys. So, the total number of boys is 320 - 36 = 284.
The fraction of students that are boys is the number of boys divided by the total number of students: 284/320. To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 4. So, the simplified fraction is 71/80.
Therefore, the correct answer is 71/80, which is option b).