The expression to simplify is:

$-\frac{5}{8} - \left(-\frac{4}{3}\right)$

First, handle the double negative:

$-\frac{5}{8} + \frac{4}{3}$

To add these fractions, find a common denominator. The least common denominator (LCD) between 8 and 3 is 24.

Convert the fractions:

$-\frac{5}{8} = -\frac{5 \times 3}{8 \times 3} = -\frac{15}{24}$ $\frac{4}{3} = \frac{4 \times 8}{3 \times 8} = \frac{32}{24}$

Now, add the fractions:

$-\frac{15}{24} + \frac{32}{24} = \frac{-15 + 32}{24} = \frac{17}{24}$

So, the simplified result is:

$\frac{17}{24}$

Would you like more details or have any questions?

Here are 5 related questions you might find interesting:

1. How would you subtract fractions with different denominators?
2. What is the least common denominator and how is it determined?
3. How do you convert a mixed number to an improper fraction?
4. Can you explain how to simplify the result after adding or subtracting fractions?
5. How would you solve this if the fractions were negative?

Tip: Always double-check the sign when working with negative fractions to avoid mistakes.