To find \( r \) in the expression \( r = \frac{1}{2} \div 2 \), we follow the order of operations.

1. Division is performed left to right, so first, we simplify the expression:
   \[
   r = \frac{1}{2} \div 2
   \]
   
2. Dividing by 2 is the same as multiplying by the reciprocal of 2, which is \( \frac{1}{2} \). Thus, we can rewrite the expression as:
   \[
   r = \frac{1}{2} \times \frac{1}{2}
   \]

3. Now, multiplying the fractions:
   \[
   r = \frac{1 \times 1}{2 \times 2} = \frac{1}{4}
   \]

Therefore, \( r = \frac{1}{4} \).

Would you like more details, or do you have any questions?

Here are 5 related questions to expand on this concept:
1. What is the value of \( r \) if \( r = \frac{1}{3} \div 3 \)?
2. How do you handle more complex divisions involving fractions, such as \( \frac{3}{4} \div \frac{1}{2} \)?
3. What is the result of dividing two mixed numbers?
4. How do you multiply two fractions and simplify the result?
5. How can division of fractions be applied in real-life problems?

**Tip:** When dividing by a fraction, multiply by its reciprocal instead—it simplifies the operation.

Learn how to find the value of r in the expression r = ½ ÷ 2 with a step-by-step explanation. This solution demonstrates the division of fractions using the reciprocal method and covers basic arithmetic concepts. Suitable for students in Grades 5-7.

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