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The problem displayed in the image is as follows:

\[
3 \frac{1}{3} + 5 - 2 \frac{3}{4}
\]

Let's solve this step by step:

1. **Convert Mixed Numbers to Improper Fractions**:
   - \( 3 \frac{1}{3} \): Convert to improper fraction.
     \[
     3 \frac{1}{3} = \frac{10}{3}
     \]
   - \( 2 \frac{3}{4} \): Convert to improper fraction.
     \[
     2 \frac{3}{4} = \frac{11}{4}
     \]

2. **Combine the Terms**:
   The expression becomes:
   \[
   \frac{10}{3} + 5 - \frac{11}{4}
   \]
   Rewrite 5 as a fraction with a denominator:
   \[
   5 = \frac{15}{3}
   \]
   Now the expression is:
   \[
   \frac{10}{3} + \frac{15}{3} - \frac{11}{4}
   \]

3. **Find a Common Denominator**:
   The common denominator between 3 and 4 is 12. Let's convert the fractions:
   \[
   \frac{10}{3} = \frac{40}{12}, \quad \frac{15}{3} = \frac{60}{12}, \quad \frac{11}{4} = \frac{33}{12}
   \]
   Now the expression becomes:
   \[
   \frac{40}{12} + \frac{60}{12} - \frac{33}{12}
   \]

4. **Perform the Operations**:
   \[
   \frac{40 + 60 - 33}{12} = \frac{67}{12}
   \]

So, the answer is \( \frac{67}{12} \), which is approximately 5 \( \frac{7}{12} \).

Thus, the correct answer is **B. \( 5 \frac{7}{12} \)**.

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Would you like more details or have any questions?

Here are 5 related questions:
1. How do you convert a mixed number into an improper fraction?
2. What is the process of adding or subtracting fractions with different denominators?
3. How do you simplify improper fractions into mixed numbers?
4. How can you find the least common denominator between two fractions?
5. What are the steps to handle operations involving whole numbers and fractions?

**Tip**: Always simplify your fractions at the end of the calculations to present the final answer in the simplest form.

Learn how to solve the mixed fraction expression 3 1/3 + 5 - 2 3/4 with a step-by-step solution. This problem covers key concepts like converting mixed numbers to improper fractions and finding common denominators. Suitable for students in Grades 6-8.

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