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add working and answer in mixed fractions

The image has been successfully loaded. I'll now proceed to solve the given expression, which appears to be:

\[
- \left(-3 \frac{5}{7} \right) + 1 \frac{3}{5} - \left(- \frac{3}{7}\right)
\]

### Step-by-step solution:

1. **Convert the mixed fractions to improper fractions:**

   - \( -3 \frac{5}{7} \) becomes \( - \left( \frac{26}{7} \right) \).
   - \( 1 \frac{3}{5} \) becomes \( \frac{8}{5} \).

2. **Rewrite the expression:**

   \[
   - \left( -\frac{26}{7} \right) + \frac{8}{5} - \left( - \frac{3}{7} \right)
   \]
   This simplifies to:
   \[
   \frac{26}{7} + \frac{8}{5} + \frac{3}{7}
   \]

3. **Combine the terms with the same denominators:**

   First, sum the fractions with denominator 7:
   \[
   \frac{26}{7} + \frac{3}{7} = \frac{29}{7}
   \]

   So the expression becomes:
   \[
   \frac{29}{7} + \frac{8}{5}
   \]

4. **Find a common denominator:**

   The least common denominator (LCD) of 7 and 5 is 35. Convert both fractions:
   \[
   \frac{29}{7} = \frac{145}{35}, \quad \frac{8}{5} = \frac{56}{35}
   \]

5. **Add the fractions:**

   \[
   \frac{145}{35} + \frac{56}{35} = \frac{201}{35}
   \]

6. **Convert back to a mixed fraction:**

   \[
   \frac{201}{35} = 5 \frac{26}{35}
   \]

Thus, the final answer is \( 5 \frac{26}{35} \).

Would you like further details or clarifications? 

Here are 5 related questions:
1. How do you simplify complex fractions with different denominators?
2. What is the process for converting improper fractions to mixed numbers?
3. How do you determine the least common denominator (LCD) for fractions?
4. Can negative fractions be added in the same way as positive fractions?
5. How do you handle signs when working with fractions?

**Tip:** Always simplify your final answer whenever possible for clarity.

Learn how to solve the fraction expression: -(-3 5/7) + 1 3/5 - (-3/7). This problem involves mixed fractions, converting them to improper fractions, and adding fractions with different denominators. Suitable for students in Grades 6-8.

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