To solve $-\frac{5}{6} + 1 \frac{2}{3}$, we first convert the mixed number into an improper fraction:

$1 \frac{2}{3} = \frac{5}{3}$

Now, we solve the expression:

$-\frac{5}{6} + \frac{5}{3}$

We need a common denominator. The least common denominator of 6 and 3 is 6. Rewrite $\frac{5}{3}$ as $\frac{10}{6}$:

$-\frac{5}{6} + \frac{10}{6} = \frac{-5 + 10}{6} = \frac{5}{6}$

Thus, the result is:

$\frac{5}{6}$

Would you like more details on any step?

Here are 5 related questions:

1. How do you convert mixed numbers to improper fractions?
2. What is the least common denominator, and how is it found?
3. How can you add fractions with different denominators?
4. What are common mistakes when working with negative fractions?
5. How do you subtract fractions?

Tip: Always simplify fractions before performing operations to make calculations easier.