Final answer:
To determine the fraction of non-black marbles, calculate the total number of marbles and subtract the number of black marbles. The fraction of non-black marbles among all marbles in the box is 83/117.
Step-by-step explanation:
The question pertains to finding the fraction of marbles in a box that are not black. Given the counts for different colors of marbles - 34 black marbles, 17 red marbles, 53 blue marbles, and 13 white marbles - one can calculate the total number of marbles and then determine how many are not black.
First, find the total number of marbles:
- Black: 34
- Red: 17
- Blue: 53
- White: 13
Adding these together gives us:
34 (black) + 17 (red) + 53 (blue) + 13 (white) = 117 total marbles.
Next, calculate the number of non-black marbles:
17 (red) + 53 (blue) + 13 (white) = 83 non-black marbles.
The fraction of non-black marbles is the number of non-black marbles divided by the total number of marbles:
83/117
Therefore, the correct answer is:b. 83/117