-   7 8  = 0.875, 1 3  = 0.333. 1 4  = 0.25. 23 24  = 0.958. 11 12  = 0.916, 17 24  = 0.708.      Clearly, 0.708 lies between 0.333 and 0.875.   17 24  lies between 1 3  and 7 8                                                              

To solve this problem, we need to find a fraction that lies between 7/8 and 1/3. To do so, we can convert both fractions to have a common denominator, which will allow us to compare them easily.

First, we need to find the least common multiple (LCM) of 3 and 8, which is 24. Then, we can convert 7/8 and 1/3 to have a denominator of 24 as follows:

7/8 = (7/8) * (3/3) = 21/24

1/3 = (1/3) * (8/8) = 8/24

Now we can see that we need to find a fraction that lies between 8/24 and 21/24. To do so, we can look at each of the answer choices and convert them to have a denominator of 24.

A. 1/4 = 6/24, which is less than 8/24, so this option is not the correct answer.

B. 23/24 = 23/24, which is greater than 21/24, so this option is not the correct answer.

C. 11/12 = 22/24, which is greater than 21/24, so this option is not the correct answer.

D. 17/24 = 17/24, which is between 8/24 and 21/24, so this is the correct answer.

E. None of these options satisfy the conditions given in the problem statement.

Therefore, the correct answer is option D, 17/24.

In summary, to solve this problem, we converted the given fractions to have a common denominator and compared them to the answer choices to find the one that lies between them. The key concepts used were least common multiple, conversion of fractions to have a common denominator, and comparison of fractions.

If you think the solution is wrong then please provide your own solution below in the comments section .