Final answer:
The student completed 7/8 of their homework today after completing 1/3 yesterday and adding 13/24 more to the amount completed yesterday.
Step-by-step explanation:
The question asks us to calculate how much homework a student completed today, given that they completed 13/24 more homework than the 1/3 they completed yesterday. To find today's total completed homework, we first recognize that 1/3 represents yesterday's portion. To calculate today's portion, we add 13/24 to 1/3:
1/3 + 13/24 = 8/24 + 13/24 = 21/24 = 7/8
Thus, the student completed 7/8 of their homework today.