Let's solve the expression step by step:

\[
- \frac{5}{6} + \left(2 - \frac{2}{3}\right)
\]

1. First, solve the expression inside the parentheses:
   \[
   2 - \frac{2}{3}
   \]
   To subtract, convert 2 to a fraction with the same denominator as \(\frac{2}{3}\):
   \[
   2 = \frac{6}{3}
   \]
   So,
   \[
   \frac{6}{3} - \frac{2}{3} = \frac{4}{3}
   \]

2. Now, the expression becomes:
   \[
   -\frac{5}{6} + \frac{4}{3}
   \]

3. To add these fractions, find a common denominator. The common denominator between 6 and 3 is 6:
   \[
   \frac{4}{3} = \frac{8}{6}
   \]
   So the expression becomes:
   \[
   -\frac{5}{6} + \frac{8}{6}
   \]

4. Now, subtract the numerators:
   \[
   \frac{-5 + 8}{6} = \frac{3}{6} = \frac{1}{2}
   \]

So, the final answer is \(\frac{1}{2}\).

Would you like more details or have any questions?

Here are some related questions:

1. How do you find a common denominator between two fractions?
2. What are the steps to simplify a fraction?
3. How can you convert a mixed number to an improper fraction?
4. What is the difference between adding and subtracting fractions?
5. How do you handle negative numbers in fraction operations?

**Tip:** Always simplify fractions at the end of your calculations to make your answer as clear as possible.

Learn how to solve the expression -5/6 + (2 - 2/3) step by step. This guide covers key concepts like finding a common denominator, adding and subtracting fractions, and simplifying your final answer. Ideal for students in Grades 5-7.

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