📚 Part 1: Multiple Choice (Questions 1–5)

Circle the letter of the correct answer.

✏️ Part 2: Solve and Show Your Work (Questions 6–15)

Solve each problem. Show all steps in the work box. Write your answer on the line.

🌟 Support Strategy: Remember — to add or subtract a whole number and a fraction, convert the whole number to a fraction with the same denominator first! Example: 3 = 12/4

📝 Part 3: Word Problems (Questions 16–20)

Read each problem carefully. Show your work and write a complete sentence for your answer.

Answer: _______________________________________________

Answer: _______________________________________________

Answer: _______________________________________________

Answer: _______________________________________________

Answer: _______________________________________________

🚀 Extension Activity (For Advanced Learners)

Challenge yourself! Try these bonus problems.

🔑 ANSWER KEY — Teacher Copy Only

Fraction Addition & Subtraction with Whole Numbers — 5th Grade

Do not distribute to students.

Part 1: Multiple Choice Answers

✅ Answer: D) Both B and C

Explanation: 2 + 1/4 = 2 1/4 (mixed number) = 9/4 (improper fraction). Both are correct representations.

✅ Answer: C) 4 2/3

Explanation: 5 = 15/3. 15/3 − 2/3 = 13/3 = 4 1/3. Wait — let's recheck: 5 − 2/3 = 4 3/3 − 2/3 = 4 1/3. ✅ Answer: A) 4 1/3

✅ Answer: B) 7/2

Explanation: 3 1/2 = (3×2+1)/2 = 7/2. Option D: 4 − 1/4 = 3 3/4 ≠ 3 1/2.

✅ Answer: D) Both B and C

Explanation: 4 + 1/3 = 4 1/3 (mixed number) = 13/3 (improper fraction). Both correct.

✅ Answer: C) 2 3/8 cups

Explanation: 3 = 24/8. 24/8 − 5/8 = 19/8 = 2 3/8 cups.

Part 2: Solve and Show Your Work — Answers

✅ Answer: 3 3/5 (or 18/5)

Work: 3 = 15/5. 15/5 + 3/5 = 18/5 = 3 3/5

✅ Answer: 6 3/4 (or 27/4)

Work: 7 = 28/4. 28/4 − 1/4 = 27/4 = 6 3/4

✅ Answer: 4 1/3 (or 13/3)

Work: 2/6 = 1/3. 4 + 1/3 = 4 1/3 = 13/3. Simplify first!

✅ Answer: 5 5/8 (or 45/8)

Work: 6 = 48/8. 48/8 − 3/8 = 45/8 = 5 5/8

✅ Answer: 9 1/2 (or 19/2)

Work: 9 = 18/2. 18/2 + 1/2 = 19/2 = 9 1/2

✅ Answer: 9 3/10 (or 93/10)

Work: 10 = 100/10. 100/10 − 7/10 = 93/10 = 9 3/10

✅ Answer: 5 4/9 (or 49/9)

Work: 5 = 45/9. 45/9 + 4/9 = 49/9 = 5 4/9

✅ Answer: 7 1/6 (or 43/6)

Work: 8 = 48/6. 48/6 − 5/6 = 43/6 = 7 1/6

✅ Answer: 6 3/4 (or 27/4)

Work: 6 = 24/4. 24/4 + 3/4 = 27/4 = 6 3/4

✅ Answer: 11 3/5 (or 58/5)

Work: 12 = 60/5. 60/5 − 2/5 = 58/5 = 11 3/5

Part 3: Word Problem Answers

✅ Answer: 4 3/4 miles

Work: 4 = 16/4. 16/4 + 3/4 = 19/4 = 4 3/4 miles total.

Sample sentence: "Marcus ran 4 3/4 miles total over both days."

✅ Answer: 8 1/3 feet

Work: 9 = 27/3. 27/3 − 2/3 = 25/3 = 8 1/3 feet.

Sample sentence: "The board is now 8 1/3 feet long."

✅ Answer: 4 5/8 pounds

Work: 5 = 40/8. 40/8 − 3/8 = 37/8 = 4 5/8 pounds.

Sample sentence: "Jaylen has 4 5/8 pounds of trail mix left."

✅ Answer: 9 1/6 gallons

Work: 10 = 60/6. 60/6 − 5/6 = 55/6 = 9 1/6 gallons.

Sample sentence: "There are 9 1/6 gallons of water in the tank."

✅ Answer: 3 2/5 miles

Work: 3 = 15/5. 15/5 + 2/5 = 17/5 = 3 2/5 miles.

Sample sentence: "Sofia walked 3 2/5 miles in all."

📊 Scoring Guide

Part 1 (Multiple Choice): 2 points each × 5 = 10 points

Part 2 (Solve & Show Work): 2 points each × 10 = 20 points

— 1 point for correct process / 1 point for correct answer

Part 3 (Word Problems): 3 points each × 5 = 15 points

— 1 point for setup / 1 point for correct calculation / 1 point for complete sentence

Total: 45 points

Extension Bonus: Up to 5 points extra credit (teacher discretion)

40–45 = Exceeds Standard  |  32–39 = Meets Standard  |  23–31 = Approaching  |  Below 23 = Needs Support