Fraction and decimal comparison worksheet for students to practice identifying correct symbols.

To solve this worksheet, you need to compare each fraction with its corresponding decimal and write the correct comparison symbol: > (greater than), < (less than), or = (equal to) in the box.

The best way to do this is to convert each fraction to a decimal (by dividing numerator by denominator) and then compare it directly with the given decimal.

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Let’s go through each problem one by one:

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1) 7/8 □ 0.825

- 7 ÷ 8 = 0.875
- 0.875 > 0.825 → >

✔ Answer: >

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2) 4/6 □ 0.667

- 4 ÷ 6 = 0.666... ≈ 0.667 (rounded)
- So 4/6 ≈ 0.667 → =

✔ Answer: =

*(Note: In many contexts, 4/6 is simplified to 2/3, which is 0.666..., so if rounded to 3 decimals, it equals 0.667.)*

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3) 5/6 □ 0.708

- 5 ÷ 6 = 0.833...
- 0.833 > 0.708 → >

✔ Answer: >

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4) 2/3 □ 0.667

- 2 ÷ 3 = 0.666... ≈ 0.667
- So 2/3 ≈ 0.667 → =

✔ Answer: =

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5) 2/4 □ 0.4

- 2 ÷ 4 = 0.5
- 0.5 > 0.4 → >

✔ Answer: >

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6) 1/2 □ 0.5

- 1 ÷ 2 = 0.5
- 0.5 = 0.5 → =

✔ Answer: =

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7) 1/2 □ 0.6

- 1 ÷ 2 = 0.5
- 0.5 < 0.6 → <

✔ Answer: <

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8) 4/6 □ 0.717

- 4 ÷ 6 = 0.666...
- 0.666 < 0.717 → <

✔ Answer: <

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9) 4/5 □ 0.65

- 4 ÷ 5 = 0.8
- 0.8 > 0.65 → >

✔ Answer: >

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10) 2/3 □ 0.667

- Same as #4 → 2/3 ≈ 0.667 → =

✔ Answer: =

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11) 1/2 □ 0.625

- 1 ÷ 2 = 0.5
- 0.5 < 0.625 → <

✔ Answer: <

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12) 1/8 □ 0.1

- 1 ÷ 8 = 0.125
- 0.125 > 0.1 → >

✔ Answer: >

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13) 5/8 □ 0.625

- 5 ÷ 8 = 0.625
- 0.625 = 0.625 → =

✔ Answer: =

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14) 4/5 □ 0.95

- 4 ÷ 5 = 0.8
- 0.8 < 0.95 → <

✔ Answer: <

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15) 3/4 □ 0.875

- 3 ÷ 4 = 0.75
- 0.75 < 0.875 → <

✔ Answer: <

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16) 3/4 □ 0.625

- 3 ÷ 4 = 0.75
- 0.75 > 0.625 → >

✔ Answer: >

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17) 2/5 □ 0.4

- 2 ÷ 5 = 0.4
- 0.4 = 0.4 → =

✔ Answer: =

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18) 6/8 □ 0.825

- 6 ÷ 8 = 0.75
- 0.75 < 0.825 → <

✔ Answer: <

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19) 2/3 □ 0.592

- 2 ÷ 3 ≈ 0.666...
- 0.666 > 0.592 → >

✔ Answer: >

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20) 2/3 □ 0.692

- 2 ÷ 3 ≈ 0.666...
- 0.666 < 0.692 → <

✔ Answer: <

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## ✔ Final Answers:

1) >
2) =
3) >
4) =
5) >
6) =
7) <
8) <
9) >
10) =
11) <
12) >
13) =
14) <
15) <
16) >
17) =
18) <
19) >
20) <

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📌 Tip for students: Always convert fractions to decimals (or decimals to fractions) to make comparisons easier. Use a calculator if allowed, or remember common fraction-to-decimal conversions (like 1/2=0.5, 1/4=0.25, 3/4=0.75, etc.).

Let me know if you’d like a printable version or explanation of any step!