I'll solve this ordering fractions problem step by step. For each set, I need to order the fractions from smallest to largest and show where they belong on a number line from 0 to 1.
Let me work through each problem:
Problem 1: 3/4, 2/4, 1/4
- All have the same denominator (4)
- Compare numerators: 1 < 2 < 3
- Order: 1/4, 2/4, 3/4
Problem 2: 4/8, 4/10, 4/5
- All have the same numerator (4)
- When numerators are the same, larger denominator = smaller fraction
- 10 > 8 > 5, so 4/10 < 4/8 < 4/5
- Let me verify by converting to decimals:
- 4/10 = 0.4
- 4/8 = 0.5
- 4/5 = 0.8
- Order: 4/10, 4/8, 4/5 ✓
Problem 3: 3/6, 1/4, 2/3
- Need common denominator or convert to decimals
- Simplify first: 3/6 = 1/2
- Convert to decimals:
- 1/4 = 0.25
- 1/2 = 0.5
- 2/3 ≈ 0.67
- Order: 1/4, 3/6, 2/3
Problem 4: 1/10, 1/2, 1/5
- Same numerator (1), so larger denominator = smaller fraction
- 10 > 5 > 2, so 1/10 < 1/5 < 1/2
- Verify with decimals:
- 1/10 = 0.1
- 1/5 = 0.2
- 1/2 = 0.5
- Order: 1/10, 1/5, 1/2 ✓
Problem 5: 5/7, 1/3, 5/10
- Convert to decimals:
- 1/3 ≈ 0.333
- 5/10 = 0.5
- 5/7 ≈ 0.714
- Order: 1/3, 5/10, 5/7
Problem 6: 2/10, 3/4, 2/8
- Simplify: 2/10 = 1/5, 2/8 = 1/4
- Convert to decimals:
- 2/10 = 0.2
- 2/8 = 0.25
- 3/4 = 0.75
- Order: 2/10, 2/8, 3/4
Final Answer:
1. 1/4, 2/4, 3/4
2. 4/10, 4/8, 4/5
3. 1/4, 3/6, 2/3
4. 1/10, 1/5, 1/2
5. 1/3, 5/10, 5/7
6. 2/10, 2/8, 3/4
Parent Tip: Review the logic above to help your child master the concept of printable number line with fractions.
