Bob has a jar of fruit, and he ate 1/8 of the fruit for lunch. If Bob ate 3/7 of the remaining fruit for dinner, what fraction of the fruit was left after dinner?
Choose the correct choice from the following options:
A) 1/4  B) 1/3  C) 1/2  D) 2/5  E) 3/7
Let x be the amount of fruit at the beginning.   After lunch, the remaining fruit was (7/8)x.   After dinner, the remaining fruit was (4/7)(7/8)x = (1/2)x.   The answer is 1/2.
<result>C</result>
Bob has a jar of fruit, and he ate 1/8 of the fruit for lunch. If Bob ate 3/7 of the remaining fruit for dinner, what fraction of the fruit was left after dinner?