To solve this problem, you first need to convert all the mixed numbers to improper fractions. We can rewrite 2 1/8 as 17/8 and 9/10 as 18/20.

Now, we can add the fractions by finding a common denominator. In this case, the lowest common denominator is 40. So, 17/8 becomes 85/40 and 18/20 becomes 36/40.

Next, we can combine the fractions by adding the numerators. We get 121/40 as the new fraction.

Similarly, we can find a common denominator for the second equation, which is 30. So, 2/15 becomes 8/30 and 1/10 becomes 3/30.

Now, we can combine the fractions and get 11/30 as the new fraction.

Finally, we can divide 121/40 by 11/30 which gives us the final answer of 33 3/4.

Solution:

First, we need to convert the mixed number 52/8 into an improper fraction, which is equivalent to 6 4/8. Then, we can add the fractions of 2/5 and 24/17 by finding a common denominator, which in this case is 85. So, we have (2*17/5*17) + (24*5/17*5) = 34/85 + 120/85 = 154/85. Now, we can divide 154/85 by 6 4/8 by multiplying the reciprocal 8/54. The final answer is 7/12.

Explanation:

The key to solving this problem is to understand the concept of converting mixed numbers to improper fractions and finding common denominators. By converting both mixed numbers into improper fractions, we can easily add them together to get an equivalent fraction with a common denominator. After that, we can simply divide the resulting fraction by multiplying its reciprocal. Remember to always simplify the final answer, which in this case is 7/12.

Remember to double check your work and always show your steps.