Equivalent Fractions Using Multiplication
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Equivalent Fractions Using Multiplication
🔢 Part 1: Finding Equivalent Fractions
a) 1/3 = ___/9 (multiply by ___)
b) 2/5 = 6/___ (multiply by ___)
c) 3/4 = ___/12 (multiply by ___)
d) 1/2 = 4/___ (multiply by ___)
a) 1/4 × 2/2 = ___/___
b) 3/5 × 3/3 = ___/___
c) 2/7 × 4/4 = ___/___
🎯 Part 2: Multiple Choice & Problem Solving
✏️ Part 3: Word Problems
Answer: _____ out of 12 parts
Show your multiplication: 3/4 × ___/___ = ___/12
📝 ANSWER SHEET
1.
a) 1/3 = 3/9 (multiply by 3)
b) 2/5 = 6/15 (multiply by 3)
c) 3/4 = 9/12 (multiply by 3)
d) 1/2 = 4/8 (multiply by 4)
2. Circle: 4/6 (2/3 × 2/2 = 4/6)
3.
a) 1/4 × 2/2 = 2/8
b) 3/5 × 3/3 = 9/15
c) 2/7 × 4/4 = 8/28
4. Circle: 6/16 (3/8 × 2/2 = 6/16)
5. Check: 2/4, 3/6, 5/10, 6/12 (All equal 1/2 when simplified)
6. Answer: 9 out of 12 parts
Show your multiplication: 3/4 × 3/3 = 9/12
7. 8/20 (2/5 × 4/4 = 8/20)
8. Sample answer: When you multiply both the numerator and denominator by the same number, you're essentially multiplying the fraction by 1 (like 2/2 or 3/3). Since multiplying by 1 doesn't change the value, the fraction represents the same amount but is written differently. It's like having the same pizza cut into more pieces - you still have the same amount of pizza.
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