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Let's solve this step by step:

We need to find which numbers are **less than 18 ½**.

1. **Convert 18 ½ to an improper fraction:**

   \[
   18 \frac{1}{2} = \frac{(18 \times 2) + 1}{2} = \frac{37}{2}
   \]

   So, 18 ½ is equivalent to \(\frac{37}{2}\).

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Now, let's convert the given fractions to improper fractions or decimals to compare them with \(\frac{37}{2} = 18.5\).

### First Option: \( 18 \frac{6}{9} \)
   - \( 6/9 = 2/3 \)
   - \( 18 \frac{6}{9} = 18 + \frac{2}{3} = 18.6667 \)
   - \( 18.6667 \) is greater than 18.5.

### Second Option: \( \frac{336}{18} \)
   - \( 336 ÷ 18 = 18.6667 \)
   - \( 18.6667 \) is greater than 18.5.

### Third Option: \( \frac{295}{16} \)
   - \( 295 ÷ 16 = 18.4375 \)
   - \( 18.4375 \) is less than 18.5.

### Fourth Option: \( \frac{291}{15} \)
   - \( 291 ÷ 15 = 19.4 \)
   - \( 19.4 \) is greater than 18.5.

---

### Conclusion:
- The numbers less than 18 ½ are **295/16**.

Would you like further details on the steps or calculations? 

Here are 5 relative questions to expand on this:
1. How do you convert mixed numbers to improper fractions?
2. How can you compare improper fractions to mixed numbers?
3. What is the process for converting fractions to decimals?
4. How can you find common denominators to compare fractions?
5. What are some methods to estimate fractions quickly?

**Tip**: When comparing fractions and mixed numbers, converting everything to decimals can help make the comparison easier.

Learn how to compare mixed numbers and improper fractions with a step-by-step solution to determine which numbers are less than 18 ½. This lesson covers key concepts such as converting mixed numbers to improper fractions and fractions to decimals. Suitable for Grades 5-7.

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