4. Which is larger: a) A half of 12 or a third of 15 ? b) $$ \frac{1}{4} $$ of sixteen or $$ \frac{1}{2} $$ of nine?

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Let's evaluate each part step by step:

### a) A half of 12 vs. a third of 15

- **A half of 12**:  
  $$\frac{1}{2} 	imes 12 = 6$$

- **A third of 15**:  
  $$\frac{1}{3} 	imes 15 = 5$$

**Conclusion:**  
$$\frac{1}{2}$$ of 12 (**6**) is larger than $$\frac{1}{3}$$ of 15 (**5**).

### b) $$\frac{1}{4}$$ of sixteen vs. $$\frac{1}{2}$$ of nine

- **$$\frac{1}{4}$$ of sixteen**:  
  $$\frac{1}{4} 	imes 16 = 4$$

- **$$\frac{1}{2}$$ of nine**:  
  $$\frac{1}{2} 	imes 9 = 4.5$$

**Conclusion:**  
$$\frac{1}{2}$$ of nine (**4.5**) is larger than $$\frac{1}{4}$$ of sixteen (**4**).

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**Summary:**

a) A half of 12 (which is 6) is larger than a third of 15 (which is 5).

b) Half of 9 (which is 4.5) is larger than one fourth of 16 (which is 4).
a) A half of 12 is larger than a third of 15. b) Half of 9 is larger than one fourth of 16.

4. Which is larger: a) A half of 12 or a third of 15 ? b) \( \frac{1}{4} \) of sixteen or \( \frac{1}{2} \) of nine?

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