Practice converting and comparing values with this worksheet designed to help students master ordering fractions, decimals, and percentages.

Let's solve each question step by step. The goal is to order the given numbers (fractions, decimals, and percentages) in ascending order. To do this, we'll convert all values into decimals, which makes comparison easy.

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🔁 Conversion Rules:

- Fractions → Decimals: Divide numerator by denominator.
- Percentages → Decimals: Divide by 100 (e.g., 57.1% = 57.1 ÷ 100 = 0.571).

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## ✔ Question 1:
Numbers: 0.3, 1/5, 1/2, 0.706, 7/8, 57.1%

Step 1: Convert all to decimals

- 0.3 → 0.3
- 1/5 = 1 ÷ 5 = 0.2
- 1/2 = 1 ÷ 2 = 0.5
- 0.706 → 0.706
- 7/8 = 7 ÷ 8 = 0.875
- 57.1% = 57.1 ÷ 100 = 0.571

Step 2: List in ascending order

Now sort the decimals:
- 0.2, 0.3, 0.5, 0.571, 0.706, 0.875

Final Answer (original forms):

1/5, 0.3, 1/2, 57.1%, 0.706, 7/8

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## ✔ Question 2:
Numbers: 0.9, 38.5%, 1/4, 2/3, 3/5, 0.824

Convert to decimals:

- 0.9 → 0.9
- 38.5% = 38.5 ÷ 100 = 0.385
- 1/4 = 0.25 → 0.25
- 2/3 ≈ 2 ÷ 3 ≈ 0.666...
- 3/5 = 3 ÷ 5 = 0.6
- 0.824 → 0.824

Sort decimals:

- 0.25, 0.385, 0.6, 0.666..., 0.824, 0.9

Final Answer:

1/4, 38.5%, 3/5, 2/3, 0.824, 0.9

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## ✔ Question 3:
Numbers: 1/6, 1/2, 0.4, 0.294, 1/3, 38.5%

Convert:

- 1/6 ≈ 0.1667
- 1/2 = 0.5
- 0.4 → 0.4
- 0.294 → 0.294
- 1/3 ≈ 0.333...
- 38.5% = 0.385

Decimal list:

- 0.1667, 0.294, 0.333..., 0.385, 0.4, 0.5

Final Answer:

1/6, 0.294, 1/3, 38.5%, 0.4, 1/2

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## ✔ Question 4:
Numbers: 0.105, 1/2, 7.7%, 0.9, 1/4, 1/8

Convert:

- 0.105 → 0.105
- 1/2 = 0.5
- 7.7% = 7.7 ÷ 100 = 0.077
- 0.9 → 0.9
- 1/4 = 0.25
- 1/8 = 0.125

Sorted decimals:

- 0.077, 0.105, 0.125, 0.25, 0.5, 0.9

Final Answer:

7.7%, 0.105, 1/8, 1/4, 1/2, 0.9

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## ✔ Question 5:
Numbers: 1/3, 85.7%, 0.7, 1/4, 4/5, 0.471

Convert:

- 1/3 ≈ 0.333...
- 85.7% = 85.7 ÷ 100 = 0.857
- 0.7 → 0.7
- 1/4 = 0.25
- 4/5 = 0.8
- 0.471 → 0.471

Sorted decimals:

- 0.25, 0.333..., 0.471, 0.7, 0.8, 0.857

Final Answer:

1/4, 1/3, 0.471, 0.7, 4/5, 85.7%

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## ✔ Question 6:
Numbers: 4/5, 0.261, 0.1, 28.6%, 1/2, 1/4

Convert:

- 4/5 = 0.8
- 0.261 → 0.261
- 0.1 → 0.1
- 28.6% = 28.6 ÷ 100 = 0.286
- 1/2 = 0.5
- 1/4 = 0.25

Sorted decimals:

- 0.1, 0.25, 0.261, 0.286, 0.5, 0.8

Final Answer:

0.1, 1/4, 0.261, 28.6%, 1/2, 4/5

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✔ Final Answers Summary:

Question 1:
1/5, 0.3, 1/2, 57.1%, 0.706, 7/8

Question 2:
1/4, 38.5%, 3/5, 2/3, 0.824, 0.9

Question 3:
1/6, 0.294, 1/3, 38.5%, 0.4, 1/2

Question 4:
7.7%, 0.105, 1/8, 1/4, 1/2, 0.9

Question 5:
1/4, 1/3, 0.471, 0.7, 4/5, 85.7%

Question 6:
0.1, 1/4, 0.261, 28.6%, 1/2, 4/5

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✔ All values have been converted and ordered correctly. Let me know if you'd like a printable version or explanation of any conversion!