To solve this problem, we need to order each set of fractions and decimals from smallest to largest. The easiest way is to convert all the fractions into decimals so they’re all in the same format — then we can compare them easily.
Let’s go one set at a time.
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Set 1:
Fractions and decimals:
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 from smallest to largest:
0.1 → 0.11 → 0.2 → 0.25 → 0.3
So the ordered values are:
1/10, 11/100, 0.2, 0.25, 3/10
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Set 2:
0.3, 3/5, 4/5, 0.7, 85/100
Convert fractions:
- 3/5 = 0.6
- 4/5 = 0.8
- 85/100 = 0.85
All decimals:
0.3, 0.6, 0.8, 0.7, 0.85
Order:
0.3 → 0.6 → 0.7 → 0.8 → 0.85
So:
0.3, 3/5, 0.7, 4/5, 85/100
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Set 3:
3/4, 3/8, 0.77, 0.61, 8/12
Convert fractions:
- 3/4 = 0.75
- 3/8 = 0.375
- 8/12 = 2/3 ≈ 0.666... (we’ll use 0.667 for comparison)
All decimals:
0.75, 0.375, 0.77, 0.61, 0.667
Order:
0.375 → 0.61 → 0.667 → 0.75 → 0.77
So:
3/8, 0.61, 8/12, 3/4, 0.77
*(Note: 8/12 simplifies to 2/3, but since the original says 8/12, we keep it as is in answer.)*
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Set 4:
7/5, 11/8, 1.12, 1.02, 13/10
Convert fractions:
- 7/5 = 1.4
- 11/8 = 1.375
- 13/10 = 1.3
All decimals:
1.4, 1.375, 1.12, 1.02, 1.3
Order:
1.02 → 1.12 → 1.3 → 1.375 → 1.4
So:
1.02, 1.12, 13/10, 11/8, 7/5
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✔ All sets checked and verified.
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
Parent Tip: Review the logic above to help your child master the concept of ordering decimal numbers worksheet ks2.
