Ordering fractions and decimals - Fraction and Decimal Worksheets ... - Free Printable

Let’s solve each problem step by step. The goal is to order the numbers from smallest to largest. Some are decimals, some are fractions — so we’ll convert all fractions to decimals to make comparing easier.

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Problem 1:
Numbers:
0.2, 3/10, 1/10, 0.25, 11/100

Convert fractions to decimals:
- 3/10 = 0.3
- 1/10 = 0.1
- 11/100 = 0.11

Now list all as decimals:
0.2, 0.3, 0.1, 0.25, 0.11

Order them from smallest to largest:
0.1 (which is 1/10)
→ 0.11 (which is 11/100)
→ 0.2
→ 0.25
→ 0.3 (which is 3/10)

So final order:
1/10, 11/100, 0.2, 0.25, 3/10

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Problem 2:
Numbers:
0.3, 3/5, 4/5, 0.7, 85/100

Convert fractions:
- 3/5 = 0.6
- 4/5 = 0.8
- 85/100 = 0.85

List all as decimals:
0.3, 0.6, 0.8, 0.7, 0.85

Order from smallest to largest:
0.3
→ 0.6 (3/5)
→ 0.7
→ 0.8 (4/5)
→ 0.85 (85/100)

Final order:
0.3, 3/5, 0.7, 4/5, 85/100

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Problem 3:
Numbers:
3/4, 3/8, 0.77, 0.61, 8/12

Convert fractions:
- 3/4 = 0.75
- 3/8 = 0.375
- 8/12 → simplify first: 8÷4=2, 12÷4=3 → 2/3 ≈ 0.666... (we can use 0.667 for comparison)

List all as decimals:
0.75, 0.375, 0.77, 0.61, 0.667

Order from smallest to largest:
0.375 (3/8)
→ 0.61
→ 0.667 (8/12)
→ 0.75 (3/4)
→ 0.77

Final order:
3/8, 0.61, 8/12, 3/4, 0.77

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Problem 4:
Numbers:
7/5, 11/8, 1.12, 1.02, 13/10

Convert fractions:
- 7/5 = 1.4
- 11/8 = 1.375
- 13/10 = 1.3

List all as decimals:
1.4, 1.375, 1.12, 1.02, 1.3

Order from smallest to largest:
1.02
→ 1.12
→ 1.3 (13/10)
→ 1.375 (11/8)
→ 1.4 (7/5)

Final order:
1.02, 1.12, 13/10, 11/8, 7/5

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Final Answer:

1. 1/10, 11/100, 0.2, 0.25, 3/10
2. 0.3, 3/5, 0.7, 4/5, 85/100
3. 3/8, 0.61, 8/12, 3/4, 0.77
4. 1.02, 1.12, 13/10, 11/8, 7/5