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The image contains three word problems related to fractions and mixed numbers, along with a set of diagrams that are meant to represent these problems visually. Let's analyze each problem and match them with the appropriate diagram.

### Word Problems Analysis:
1. **Problem 1:** 
   - "A tabletop has an area of \( 5 \frac{1}{3} \) square feet. \( \frac{1}{3} \) of it is glass. What is the area of the glass part of the tabletop?"
   - Calculation: Multiply \( 5 \frac{1}{3} \) by \( \frac{1}{3} \).

2. **Problem 2:** 
   - "The total weight of a bag of fruit is \( 2 \frac{2}{3} \) pounds. \( \frac{5}{8} \) of that weight is apples. What is the weight of the apples?"
   - Calculation: Multiply \( 2 \frac{2}{3} \) by \( \frac{5}{8} \).

3. **Problem 3:** 
   - "It snowed \( 4 \frac{1}{4} \) inches in January. It snowed \( \frac{5}{6} \) as much in February. How much did it snow in February?"
   - Calculation: Multiply \( 4 \frac{1}{4} \) by \( \frac{5}{6} \).

### Diagram Analysis
Each diagram should show a visual representation of the multiplication of the mixed number with the fraction.

- **First Diagram:** Shows a grid with five full units and an additional fraction of a unit, indicating a multiplication with a smaller fraction.
- **Second Diagram:** Shows a representation with two full units and a fractional part, suitable for a scenario involving multiplication with another fraction.
- **Third Diagram:** Likely represents a different fractional multiplication where a larger portion is involved.

### Diagram Matching with Word Problems
Based on the problems and the visual representation:

1. **Problem 1 (Tabletop):** Matches the first diagram (top left) as it represents the multiplication of \( 5 \frac{1}{3} \) with \( \frac{1}{3} \).
2. **Problem 2 (Weight of apples):** Matches the second diagram (bottom diagram) showing \( 2 \frac{2}{3} \) being multiplied by \( \frac{5}{8} \).
3. **Problem 3 (Snow in February):** Matches the third diagram (top right) illustrating the multiplication of \( 4 \frac{1}{4} \) with \( \frac{5}{6} \).

Would you like me to provide more details on how to perform these calculations? 

Here are some questions for deeper understanding:
1. How do you multiply mixed numbers by fractions?
2. What steps are involved in converting mixed numbers into improper fractions?
3. Why is it important to simplify fractions before multiplying?
4. How can these types of word problems be applied to real-life scenarios?
5. What are some common mistakes to watch out for when solving fraction multiplication problems?

**Tip:** Always convert mixed numbers to improper fractions before performing operations; it makes multiplication easier and more straightforward.

A tabletop has an area of 5 1/3 square feet. 1/3 of it is glass. What is the area of the glass part of the tabletop? The total weight of a bag of fruit is 2 2/3 pounds. 5/8 of that weight is apples. What is the weight of the apples? It snowed 4 1/4 inches in January. It snowed 5/6 as much in February. How much did it snow in February?

Learn how to solve word problems that involve multiplying fractions and mixed numbers. These examples include calculating areas, weights, and snowfall using fractions. Suitable for students in Grades 5-6.

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