Add and subtract fractions and mixed numbers with appropriate common denominators.
Match fraction operations by their final value
Problem
Evaluate the target and every candidate after simplifying. Identify the complete set of candidates with the same value as the target.
Target: \(1/2~+~1/4\)
Candidates: A. \(3/8~+~3/8\) B. \(5/6~-~1/12\) C. \(7/12~+~1/12\) D. \(1~-~1/8\) E. \(2/3~+~1/12\)
Big Picture
What this problem is really about
The target’s simplified value will serve as the reference for the entire list. We’ll evaluate it first, then calculate and reduce each candidate expression independently before comparing values. Checking all five expressions and collecting every exact match avoids relying on appearance, stopping early, or including a result that has not been fully simplified.
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