Final answer:
After calculating the portions consumed by the brother (1/8) and the sister (3/4), it is determined that 7/8 of the cake has been eaten. Therefore, 1/8 of the cake remains for the student.
Step-by-step explanation:
The student mentions that their brother ate 1/8 of the cake and their sister ate 3/4 of the cake. To find out how much of the cake is left for the student, we need to add the fractions representing the portions eaten and then subtract this total from 1, which represents the whole cake.
Adding the fractions, we have:
- 1/8 (brother's portion) + 6/8 (sister's portion converted from 3/4) = 7/8 (total portion eaten)
Now, subtract this from the whole cake:
- 1 - 7/8 = 1/8
So, the fraction of the cake left for the student is 1/8.