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Fraction Multiplication Assessment

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Fraction Multiplication Assessment worksheet preview

Fraction Multiplication Assessment

I can multiply fractions and mixed numbers to solve problems!

🔢 Part 1: Multiple Choice (Questions 1–4)

Directions: Circle the letter of the correct answer.

1. What is 1/2 × 3/4?

A) 4/6

B) 3/8

C) 1/2

D) 3/6

2. What is 2/3 × 3/5?

A) 5/8

B) 6/15

C) 2/5

D) 6/8

3. What is 4 × 2/5?

A) 6/5

B) 2/20

C) 8/5 (or 1 3/5)

D) 4/5

4. Which of the following statements about multiplying fractions is TRUE?

A) The product is always larger than both fractions.

B) You add the numerators and denominators together.

C) You multiply the numerators together and the denominators together.

D) You must always find a common denominator first.

✏️ Part 2: Solve It! (Questions 5–8)

Directions: Solve each problem. Show your work in the box. Simplify your answer if possible.

5. Calculate: 3/4 × 2/3 = _________
6. Calculate: 5/6 × 3/10 = _________
7. A recipe calls for 3/4 cup of sugar. If Maya wants to make 1/2 of the recipe, how much sugar does she need? Show your multiplication equation and answer.

Answer: Maya needs _________ cup(s) of sugar.

8. Jake ran 2/3 of a mile each day for 5 days. How many total miles did Jake run? Write a multiplication equation and solve.

Answer: Jake ran _________ miles in total.

🌟 Part 3: Think & Explain (Questions 9–10)

Directions: Answer each question using complete sentences. Show any math work needed.

9. Visual Fraction Multiplication: The rectangle below represents 1 whole. Shade 2/3 of the rectangle. Then shade 1/2 of the part you already shaded. What fraction of the whole rectangle is double-shaded? Write the multiplication equation this picture shows.

Multiplication equation: _________ × _________ = _________

The double-shaded part equals _________ of the whole.

10. Explain Your Thinking: Emma says, "When you multiply two fractions that are both less than 1, the answer is always smaller than either fraction." Do you agree or disagree? Use an example to explain your answer.

🚀 Extension Challenge (Advanced Learners): Can you find two different pairs of fractions that multiply to give a product of 1/6? Show both equations below.

🗝️ ANSWER KEY — Teacher Copy

Do not distribute to students.

Part 1: Multiple Choice

1. B) 3/8 — (1×3) / (2×4) = 3/8

2. C) 2/5 — (2×3) / (3×5) = 6/15 = 2/5 (simplified)

3. C) 8/5 or 1 3/5 — 4/1 × 2/5 = 8/5 = 1 3/5

4. C) You multiply the numerators together and the denominators together.

Part 2: Solve It!

5. 3/4 × 2/3 = 6/12 = 1/2

6. 5/6 × 3/10 = 15/60 = 1/4

7. 3/4 × 1/2 = 3/8. Maya needs 3/8 cup of sugar.

8. 5 × 2/3 = 10/3 = 3 1/3 miles

Part 3: Think & Explain

9. Rectangle should show 2/3 shaded, then 1/2 of that double-shaded. Equation: 2/3 × 1/2 = 2/6 = 1/3. The double-shaded part equals 1/3 of the whole.

10. Agree. Accept any valid example, e.g., 1/2 × 1/3 = 1/6, which is smaller than both 1/2 and 1/3. Student explanation should demonstrate understanding that multiplying by a fraction less than 1 makes the number smaller.

Extension: Sample answers — 1/2 × 1/3 = 1/6; 1/6 × 1/1 = 1/6; 2/3 × 1/4 = 2/12 = 1/6; 3/6 × 1/3 = 3/18 = 1/6. Accept any correct pair.

Scoring Guide: Part 1 = 4 points (1 pt each) | Part 2 = 4 points (1 pt each) | Part 3 Q9 = 1 point | Part 3 Q10 = 1 point | Total = 10 points

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