https://file.aiquickdraw.com/mathbot/file/172973679753052zo99fa.jpg

The expression provided is:

\[
5 \frac{1}{3} - \left(-2 \frac{5}{6}\right)
\]

### Step-by-step solution:

1. **Convert the mixed numbers to improper fractions:**
   - \( 5 \frac{1}{3} = \frac{5 \times 3 + 1}{3} = \frac{16}{3} \)
   - \( -2 \frac{5}{6} = -\frac{2 \times 6 + 5}{6} = -\frac{17}{6} \)

2. **Rewrite the expression with improper fractions:**
   \[
   \frac{16}{3} - \left(-\frac{17}{6}\right) = \frac{16}{3} + \frac{17}{6}
   \]

3. **Find a common denominator:**
   The least common denominator between 3 and 6 is 6.
   - Rewrite \( \frac{16}{3} \) as \( \frac{32}{6} \).

4. **Add the fractions:**
   \[
   \frac{32}{6} + \frac{17}{6} = \frac{32 + 17}{6} = \frac{49}{6}
   \]

Thus, the result of the expression is:

\[
\frac{49}{6}
\]

Or, as a mixed number:

\[
8 \frac{1}{6}
\]

Would you like more details on any step?

Here are some related questions to deepen your understanding:

1. How do you convert a mixed number to an improper fraction?
2. What are the rules for adding fractions with different denominators?
3. How can you simplify improper fractions back into mixed numbers?
4. How does subtracting a negative number change the operation to addition?
5. What is the importance of finding the least common denominator?

**Tip:** Always convert mixed numbers to improper fractions before performing arithmetic operations.

Learn how to subtract mixed numbers and negative numbers by converting them into improper fractions. This detailed step-by-step solution covers key concepts such as fraction conversion and common denominators, suitable for students in Grades 6-8.

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