Ordering Fractions Worksheet by The Math Maestra | TPT - Free Printable

I'll solve this ordering fractions problem step by step.

To order fractions from least to greatest, I need to compare them. The easiest way is to find a common denominator or convert to decimals.

Problem 1: 2/3, 1/2, 1/6
- Common denominator: 6
- 2/3 = 4/6
- 1/2 = 3/6
- 1/6 = 1/6
- Order: 1/6, 3/6, 4/6 → 1/6, 1/2, 2/3

Problem 2: 3/4, 3/8, 1/2
- Common denominator: 8
- 3/4 = 6/8
- 3/8 = 3/8
- 1/2 = 4/8
- Order: 3/8, 4/8, 6/8 → 3/8, 1/2, 3/4

Problem 3: 1/2, 1/6, 3/10
- Common denominator: 30
- 1/2 = 15/30
- 1/6 = 5/30
- 3/10 = 9/30
- Order: 5/30, 9/30, 15/30 → 1/6, 3/10, 1/2

Problem 4: 6/10, 4/5, 3/10
- Common denominator: 10
- 6/10 = 6/10
- 4/5 = 8/10
- 3/10 = 3/10
- Order: 3/10, 6/10, 8/10 → 3/10, 6/10, 4/5

Problem 5: 6/12, 3/4, 1/3
- Simplify first: 6/12 = 1/2
- Common denominator: 12
- 1/2 = 6/12
- 3/4 = 9/12
- 1/3 = 4/12
- Order: 4/12, 6/12, 9/12 → 1/3, 6/12, 3/4

Problem 6: 2/5, 12/15, 2/3
- Common denominator: 15
- 2/5 = 6/15
- 12/15 = 12/15
- 2/3 = 10/15
- Order: 6/15, 10/15, 12/15 → 2/5, 2/3, 12/15

Final Answer:
1. 1/6, 1/2, 2/3
2. 3/8, 1/2, 3/4
3. 1/6, 3/10, 1/2
4. 3/10, 6/10, 4/5
5. 1/3, 6/12, 3/4
6. 2/5, 2/3, 12/15