Apply division before addition as required: Calculate 1/2 + 1/2 ÷ 1/2 and provide the simplified fractional result.

Introduction / Context:
When addition and division appear together, division must be completed first. This item checks whether you respect the precedence rules with basic fractions and then simplify to lowest terms.

Given Data / Assumptions:

• Expression: 1/2 + 1/2 ÷ 1/2.
• Division precedes addition.
• All results should be simplified fractions.

Concept / Approach:
Compute 1/2 ÷ 1/2 by multiplying by the reciprocal, then add that result to 1/2. Keep fractions exact for clarity and simplicity.

Step-by-Step Solution:
Evaluate division: 1/2 ÷ 1/2 = (1/2) * (2/1) = 1.Add remaining term: 1/2 + 1 = 1 1/2 = 3/2.

Verification / Alternative check:
As decimals: 0.5 + (0.5 ÷ 0.5) = 0.5 + 1 = 1.5 = 3/2, confirming the fraction form.

Why Other Options Are Wrong:
5/2, 8/3, and 9/4 result from adding before dividing or misinterpreting 1/2 ÷ 1/2; 2 equals 4/2 and is too large.

Common Pitfalls:
Doing addition first; thinking 1/2 ÷ 1/2 is 1/4; forgetting to simplify mixed numbers to improper fractions when needed.

Final Answer:
3/2