Answer Key with Explanations
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Answer Key with Explanations
📚 Part 1: Multiple Choice & Matching — Answer Key
Explanation: Convert to common denominator 4: 2/4 + 1/4 = 3/4.
Explanation: Common denominator 12: 9/12 − 4/12 = 5/12.
Explanation: Multiply numerators and denominators: (2×3)/(3×4)=6/12=1/2. You can cancel the 3 first (2/1 × 1/4 = 2/4 = 1/2).
Explanation: Divide by a fraction = multiply by its reciprocal: 1/2 × 4/1 = 4/2 = 2. (Correct choice is 2.)
Matches & Explanations: A → 1 (3/5+1/5=4/5). B → 2 (5/6−3/6=2/6=1/3). C → 3 (4/9×2/3=8/27). D → 4 (2×8/3=16/3).
✏️ Part 2: Short Answers — Answer Key & Explanations
Convert 1/4 to eighths: 1/4 = 2/8. Subtract: 7/8 − 2/8 = 5/8.
Answer: 5/8
Convert to improper: 1 1/2 = 3/2. Multiply: (3/2) × (2/3) = (3×2)/(2×3) = 6/6 = 1.
Answer: 1
Total sugar = 3 × (3/4) = 9/4. Convert to mixed number: 9/4 = 2 1/4 cups.
Answer: 2 1/4 cups
Each part = 3 ÷ 5 = 3/5 mile.
Answer: 3/5 mile
Teacher Notes
I can... add, subtract, multiply, and divide fractions and simplify my answers.
Success criteria: Find common denominators for add/subtract, multiply numerators and denominators, use reciprocals for division, and simplify final answers.
Differentiation strategies: Provide fraction strips or a number line and offer step-by-step prompts (e.g., "find common denominator" → "convert" → "compute" → "simplify") for students who need concrete supports.
Extension activity: Create and solve two real-life word problems that use mixed numbers and improper fractions. Swap with a partner and check each other's work.
Dyslexia-friendly options: Use colored overlays or a ruler to track lines, read problems aloud, break multi-step questions into numbered steps, and highlight key numbers and operation words.
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