https://file.aiquickdraw.com/mathbot/file/17296933578108cbkuyta.jpg

Let's analyze the questions based on the image:

### 1. **How many groups of \( \frac{1}{2} \) are in 8?**
   To solve this, you need to find out how many halves (\( \frac{1}{2} \)) make up 8. This can be calculated by dividing 8 by \( \frac{1}{2} \):

   \[
   8 \div \frac{1}{2} = 8 \times 2 = 16
   \]

   So, there are **16 groups of \( \frac{1}{2} \) in 8**.

### 2. **Evaluate \( 8 \div \frac{3}{2} \)**
   Here, you're dividing 8 by \( \frac{3}{2} \). This can be done by multiplying 8 by the reciprocal of \( \frac{3}{2} \), which is \( \frac{2}{3} \):

   \[
   8 \div \frac{3}{2} = 8 \times \frac{2}{3} = \frac{16}{3} \approx 5.33
   \]

   So, \( 8 \div \frac{3}{2} = \frac{16}{3} \) or approximately **5.33**.

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Would you like more details on how these divisions work, or any specific questions? Here are some related questions to consider:

1. How can you interpret dividing by a fraction geometrically?
2. What is the relationship between multiplying by the reciprocal and dividing fractions?
3. How would the answer change if you divided a smaller number by \( \frac{3}{2} \)?
4. Can you think of a real-world example where you'd divide by a fraction?
5. How would the result differ if you divided by \( \frac{5}{2} \) instead of \( \frac{3}{2} \)?

### Tip:
When dividing by a fraction, always remember to multiply by its reciprocal!

1. How many groups of 1/2 are in 8? 2. Evaluate: 8 ÷ 3/2

Solve the problem of dividing 8 by fractions. Learn how many groups of 1/2 are in 8 and how to evaluate 8 ÷ 3/2 with step-by-step instructions, including reciprocal multiplication.

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