Multiplying Fractions Using Area Models Worksheet | Fun and ... - Free Printable

I'll solve each problem step by step using the area model for multiplying fractions.

Problem 1: 2/3 × 1/4
- Numerator: 2 × 1 = 2
- Denominator: 3 × 4 = 12
- Answer: 2/12 = 1/6 (simplified)

Problem 2: 3/4 × 1/2
- Numerator: 3 × 1 = 3
- Denominator: 4 × 2 = 8
- Answer: 3/8

Problem 3: 1/2 × 2/5
- Numerator: 1 × 2 = 2
- Denominator: 2 × 5 = 10
- Answer: 2/10 = 1/5 (simplified)

Problem 4: 2/5 × 2/3
- Numerator: 2 × 2 = 4
- Denominator: 5 × 3 = 15
- Answer: 4/15

Problem 5: 2/3 × 3/5
- Numerator: 2 × 3 = 6
- Denominator: 3 × 5 = 15
- Answer: 6/15 = 2/5 (simplified)

Problem 6: 2/3 × 5/6
- Numerator: 2 × 5 = 10
- Denominator: 3 × 6 = 18
- Answer: 10/18 = 5/9 (simplified)

Problem 7: 5/6 × 3/4
- Numerator: 5 × 3 = 15
- Denominator: 6 × 4 = 24
- Answer: 15/24 = 5/8 (simplified)

Problem 8: 3/4 × 4/5
- Numerator: 3 × 4 = 12
- Denominator: 4 × 5 = 20
- Answer: 12/20 = 3/5 (simplified)

Problem 9: (3/4)² = 3/4 × 3/4
- Numerator: 3 × 3 = 9
- Denominator: 4 × 4 = 16
- Answer: 9/16

Problem 10: (2/3)² = 2/3 × 2/3
- Numerator: 2 × 2 = 4
- Denominator: 3 × 3 = 9
- Answer: 4/9

Problem 11: (4/5)² = 4/5 × 4/5
- Numerator: 4 × 4 = 16
- Denominator: 5 × 5 = 25
- Answer: 16/25

Final Answer:
1) 1/6
2) 3/8
3) 1/5
4) 4/15
5) 2/5
6) 5/9
7) 5/8
8) 3/5
9) 9/16
10) 4/9
11) 16/25