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The equation you provided is:

\[
7 \frac{3}{5} - 2 \frac{11}{15}
\]

### Step-by-Step Solution:

1. **Convert mixed numbers to improper fractions:**
   - \(7 \frac{3}{5}\) becomes \(\frac{7 \times 5 + 3}{5} = \frac{35 + 3}{5} = \frac{38}{5}\).
   - \(2 \frac{11}{15}\) becomes \(\frac{2 \times 15 + 11}{15} = \frac{30 + 11}{15} = \frac{41}{15}\).

2. **Find a common denominator** for the two fractions:
   - The denominators are 5 and 15, so the least common denominator (LCD) is 15.
   - Convert \(\frac{38}{5}\) to a fraction with denominator 15: \(\frac{38}{5} \times \frac{3}{3} = \frac{114}{15}\).

3. **Subtract the fractions**:
   \[
   \frac{114}{15} - \frac{41}{15} = \frac{114 - 41}{15} = \frac{73}{15}
   \]

4. **Simplify the result, if necessary**:
   \(\frac{73}{15}\) is already in its simplest form, but you can convert it back to a mixed number:
   \[
   \frac{73}{15} = 4 \frac{13}{15}
   \]

### Final Answer:
\[
7 \frac{3}{5} - 2 \frac{11}{15} = 4 \frac{13}{15}
\]

Would you like further details on any steps? Here are 5 related questions for practice:

1. How do you convert a mixed number to an improper fraction?
2. What is the least common denominator (LCD) of two fractions?
3. How do you subtract fractions with unlike denominators?
4. How do you convert an improper fraction back to a mixed number?
5. How can you check if a fraction is in its simplest form?

**Tip:** Always simplify fractions before performing operations for easier calculations.

Learn how to subtract mixed numbers by converting them to improper fractions. This problem involves finding a common denominator and simplifying the result. Detailed steps are provided to help students in Grade 6-7.

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