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The problem in your image asks to find the value of the following expression and write it as a reduced fraction or mixed number:

\[
\frac{20}{9} + \frac{4}{3}
\]

### Step-by-step Solution:

1. **Find a common denominator**:
   - The denominators are 9 and 3. The least common denominator (LCD) is 9.
   - To make the second fraction have the same denominator, multiply both the numerator and denominator of \(\frac{4}{3}\) by 3:

   \[
   \frac{4}{3} = \frac{4 \times 3}{3 \times 3} = \frac{12}{9}
   \]

2. **Add the fractions**:
   - Now that both fractions have the same denominator, add the numerators:

   \[
   \frac{20}{9} + \frac{12}{9} = \frac{20 + 12}{9} = \frac{32}{9}
   \]

3. **Simplify or convert to a mixed number**:
   - Since \(\frac{32}{9}\) is an improper fraction, convert it into a mixed number:
     - Divide 32 by 9. The quotient is 3, and the remainder is 5.
     - So, \(\frac{32}{9} = 3 \frac{5}{9}\).

### Final Answer:
\[
3 \frac{5}{9}
\]

Let me know if you need more details or have any questions! Here are five related questions:

1. How do you find the least common denominator (LCD) for two fractions?
2. What are the steps for converting an improper fraction into a mixed number?
3. How do you simplify fractions before adding them?
4. Why is it necessary to have the same denominator when adding fractions?
5. How do you reduce a fraction to its simplest form?

**Tip:** Always check if the fractions can be simplified before performing operations; it can make calculations easier.

Find the value of 20/9 + 4/3. Write your answer as a reduced fraction or mixed number.

Learn how to solve the fraction addition problem 20/9 + 4/3 by finding a common denominator and converting the improper fraction to a mixed number. Detailed step-by-step solution included. Suitable for students in Grades 5-7.

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