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The question asks how many hours Ralph plays tennis in a year, given that he plays 15 1/3 hours per month and there are 12 months in a year.

### Step-by-step solution:

1. **Convert the mixed number to an improper fraction**:
   - 15 1/3 hours can be rewritten as \( 15 + \frac{1}{3} \).
   - Converting 15 to a fraction with the same denominator: \( 15 = \frac{45}{3} \).
   - Adding the two fractions: \( \frac{45}{3} + \frac{1}{3} = \frac{46}{3} \).
   
2. **Multiply by the number of months in a year**:
   - Since Ralph plays for 12 months, we multiply \( \frac{46}{3} \) by 12:
   \[
   \frac{46}{3} \times 12 = \frac{46 \times 12}{3} = \frac{552}{3} = 184 \text{ hours}.
   \]

Thus, Ralph plays **184 hours** in a year. The correct answer is **D. 184**.

Would you like more details or have any questions?

Here are 5 related questions to expand on this:

1. How would the result change if Ralph played 20 hours per month?
2. How do you convert mixed numbers into improper fractions?
3. How would you solve this problem if the number of months in a year was different (e.g., 10 months)?
4. What is the formula to calculate total hours from monthly hours in any given number of months?
5. Can you explain how to multiply fractions and whole numbers?

**Tip**: Always ensure mixed numbers are converted properly to fractions before performing operations like multiplication.

Ralph spends 15 1/3 hours per month playing tennis. How many hours does he play tennis in a year? (There are 12 months in a year.)

Learn how to calculate the total hours Ralph spends playing tennis in a year based on his monthly playing time of 15 1/3 hours. This problem includes converting mixed numbers to improper fractions and multiplying fractions with whole numbers. Suitable for Grades 6-8.

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