Math worksheet for comparing fractions and decimals.

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

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✔ Strategy:

Convert the fraction to a decimal (by dividing numerator by denominator) and then compare it to the given decimal.

Let’s go problem by problem:

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1) 7/8 □ 0.825

- 7 ÷ 8 = 0.875
- 0.875 > 0.825 → >

2) 4/6 □ 0.667

- 4 ÷ 6 ≈ 0.666... (repeating)
- 0.666... is approximately 0.667 (rounded), so they are equal for practical purposes → =

> *Note: Technically 4/6 = 2/3 ≈ 0.6667, which rounds to 0.667 — so we accept = here.*

3) 5/6 □ 0.708

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

4) 2/3 □ 0.667

- 2 ÷ 3 ≈ 0.666... → rounds to 0.667 → =

5) 2/4 □ 0.4

- 2 ÷ 4 = 0.5
- 0.5 > 0.4 → >

6) 1/2 □ 0.5

- 1 ÷ 2 = 0.5 → =

7) 1/2 □ 0.6

- 0.5 < 0.6 → <

8) 4/6 □ 0.717

- 4 ÷ 6 ≈ 0.666... < 0.717 → <

9) 4/5 □ 0.65

- 4 ÷ 5 = 0.8 > 0.65 → >

10) 2/3 □ 0.667

- Again, 2/3 ≈ 0.666... ≈ 0.667 → =

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11) 1/2 □ 0.625

- 0.5 < 0.625 → <

12) 1/8 □ 0.1

- 1 ÷ 8 = 0.125 > 0.1 → >

13) 5/8 □ 0.625

- 5 ÷ 8 = 0.625 → =

14) 4/5 □ 0.95

- 4 ÷ 5 = 0.8 < 0.95 → <

15) 3/4 □ 0.875

- 3 ÷ 4 = 0.75 < 0.875 → <

16) 3/4 □ 0.625

- 0.75 > 0.625 → >

17) 2/5 □ 0.4

- 2 ÷ 5 = 0.4 → =

18) 6/8 □ 0.825

- 6 ÷ 8 = 0.75 < 0.825 → <

19) 2/3 □ 0.592

- 2/3 ≈ 0.666... > 0.592 → >

20) 2/3 □ 0.692

- 0.666... < 0.692 → <

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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: When comparing fractions and decimals, always convert the fraction to a decimal (or decimal to fraction) to make the comparison straightforward. Use a calculator if needed!

Let me know if you want to see all conversions written out!