I'll solve each problem by arranging the fractions in the correct order. Let me work through them step by step.
Problem 1: Already solved as example: 4/9 > 5/12 > 1/3 > 1/6 ✓
Problem 2: 5/12, 7/12, 13/12, 9/12 (descending order)
- All have same denominator, so just compare numerators: 13 > 9 > 7 > 5
- Answer: 13/12 > 9/12 > 7/12 > 5/12
Problem 3: 6/14, 5/14, 7/14, 15/14 (ascending order)
- All have same denominator: 5 < 6 < 7 < 15
- Answer: 5/14 < 6/14 < 7/14 < 15/14
Problem 4: 19/16, 12/16, 14/16, 10/16 (ascending order)
- Same denominator: 10 < 12 < 14 < 19
- Answer: 10/16 < 12/16 < 14/16 < 19/16
Problem 5: 16/25, 13/15, 4/5, 9/10 (descending order)
Let me convert to decimals or find common denominators:
- 16/25 = 0.64
- 13/15 ≈ 0.867
- 4/5 = 0.8
- 9/10 = 0.9
Order from largest to smallest: 0.9 > 0.867 > 0.8 > 0.64
Answer: 9/10 > 13/15 > 4/5 > 16/25
Problem 6: 7/9, 5/6, 1/3, 2/7 (descending order)
Converting to decimals:
- 7/9 ≈ 0.778
- 5/6 ≈ 0.833
- 1/3 ≈ 0.333
- 2/7 ≈ 0.286
Order: 0.833 > 0.778 > 0.333 > 0.286
Answer: 5/6 > 7/9 > 1/3 > 2/7
Problem 7: 7/4, 7/6, 8/7, 10/3 (ascending order)
Converting to decimals:
- 7/4 = 1.75
- 7/6 ≈ 1.167
- 8/7 ≈ 1.143
- 10/3 ≈ 3.333
Order: 1.143 < 1.167 < 1.75 < 3.333
Answer: 8/7 < 7/6 < 7/4 < 10/3
Problem 8: 2/5, 3/8, 4/7, 5/6 (ascending order)
Converting to decimals:
- 2/5 = 0.4
- 3/8 = 0.375
- 4/7 ≈ 0.571
- 5/6 ≈ 0.833
Order: 0.375 < 0.4 < 0.571 < 0.833
Answer: 3/8 < 2/5 < 4/7 < 5/6
Problem 9: 5/8, 3/4, 2/9, 1/7 (descending order)
Converting to decimals:
- 5/8 = 0.625
- 3/4 = 0.75
- 2/9 ≈ 0.222
- 1/7 ≈ 0.143
Order: 0.75 > 0.625 > 0.222 > 0.143
Answer: 3/4 > 5/8 > 2/9 > 1/7
Problem 10: 5/6, 5/12, 3/2, 7/4 (descending order)
Converting to decimals:
- 5/6 ≈ 0.833
- 5/12 ≈ 0.417
- 3/2 = 1.5
- 7/4 = 1.75
Order: 1.75 > 1.5 > 0.833 > 0.417
Answer: 7/4 > 3/2 > 5/6 > 5/12
Problem 11: 6/10, 5/6, 2/9, 4/15 (ascending order)
Converting to decimals:
- 6/10 = 0.6
- 5/6 ≈ 0.833
- 2/9 ≈ 0.222
- 4/15 ≈ 0.267
Order: 0.222 < 0.267 < 0.6 < 0.833
Answer: 2/9 < 4/15 < 6/10 < 5/6
Problem 12: 2/17, 3/14, 4/13, 8/15 (ascending order)
Converting to decimals:
- 2/17 ≈ 0.118
- 3/14 ≈ 0.214
- 4/13 ≈ 0.308
- 8/15 ≈ 0.533
Order: 0.118 < 0.214 < 0.308 < 0.533
Answer: 2/17 < 3/14 < 4/13 < 8/15
Final Answer:
② 13/12 > 9/12 > 7/12 > 5/12
③ 5/14 < 6/14 < 7/14 < 15/14
④ 10/16 < 12/16 < 14/16 < 19/16
⑤ 9/10 > 13/15 > 4/5 > 16/25
⑥ 5/6 > 7/9 > 1/3 > 2/7
⑦ 8/7 < 7/6 < 7/4 < 10/3
⑧ 3/8 < 2/5 < 4/7 < 5/6
⑨ 3/4 > 5/8 > 2/9 > 1/7
⑩ 7/4 > 3/2 > 5/6 > 5/12
⑪ 2/9 < 4/15 < 6/10 < 5/6
⑫ 2/17 < 3/14 < 4/13 < 8/15
Parent Tip: Review the logic above to help your child master the concept of ordering fractions from least to greatest worksheet.
