I'll work through each problem step by step to find the equivalent fractions and graph them on the number lines.
Let me solve each one:
Problem 1: 1/2
- Need to find equivalent fraction with denominator 12
- 1/2 = ?/12
- Multiply both numerator and denominator by 6: (1×6)/(2×6) = 6/12
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Answer: 6/12
Problem 2: 2/4
- Need to find equivalent fraction with denominator 8
- 2/4 = ?/8
- Simplify first: 2/4 = 1/2
- Then convert: 1/2 = ?/8
- Multiply both by 4: (1×4)/(2×4) = 4/8
-
Answer: 4/8
Problem 3: 2/3
- Need to find equivalent fraction with denominator 9
- 2/3 = ?/9
- Multiply both numerator and denominator by 3: (2×3)/(3×3) = 6/9
-
Answer: 6/9
Problem 4: 1/4
- Need to find equivalent fraction with denominator 12
- 1/4 = ?/12
- Multiply both numerator and denominator by 3: (1×3)/(4×3) = 3/12
-
Answer: 3/12
Problem 5: 1/3
- Need to find equivalent fraction with denominator 6
- 1/3 = ?/6
- Multiply both numerator and denominator by 2: (1×2)/(3×2) = 2/6
-
Answer: 2/6
Problem 6: 9/15
- Need to find equivalent fraction with denominator 5
- 9/15 = ?/5
- Divide both numerator and denominator by 3: (9÷3)/(15÷3) = 3/5
-
Answer: 3/5
Final Answer:
1. 6/12
2. 4/8
3. 6/9
4. 3/12
5. 2/6
6. 3/5
Parent Tip: Review the logic above to help your child master the concept of equivalent fractions on a number line worksheet.
