Math worksheet for comparing fractions and decimals with blank spaces for symbols.

Let's solve each problem by comparing the fraction on the left with the decimal on the right. We'll convert the fractions to decimals and then compare them.

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Step-by-step Solutions:

1) $ \frac{7}{8} = 0.875 $ → $ 0.875 > 0.825 $ → >
2) $ \frac{4}{6} = \frac{2}{3} \approx 0.666... $ → $ 0.666... < 0.667 $ → <
3) $ \frac{5}{6} \approx 0.8333 $ → $ 0.8333 > 0.708 $ → >
4) $ \frac{2}{3} \approx 0.666... $ → $ 0.666... = 0.667 $? Wait, actually $ 0.666... < 0.667 $ → <
(Note: 0.666... is less than 0.667 since 0.667 is slightly larger)

5) $ \frac{2}{4} = 0.5 $ → $ 0.5 > 0.4 $ → >
6) $ \frac{1}{2} = 0.5 $ → $ 0.5 = 0.5 $ → =
7) $ \frac{1}{2} = 0.5 $ → $ 0.5 < 0.6 $ → <
8) $ \frac{4}{6} = \frac{2}{3} \approx 0.666... $ → $ 0.666... < 0.717 $ → <
9) $ \frac{4}{5} = 0.8 $ → $ 0.8 > 0.65 $ → >
10) $ \frac{2}{3} \approx 0.666... $ → $ 0.666... < 0.667 $ → <

11) $ \frac{1}{2} = 0.5 $ → $ 0.5 < 0.625 $ → <
12) $ \frac{1}{8} = 0.125 $ → $ 0.125 > 0.1 $ → >
13) $ \frac{5}{8} = 0.625 $ → $ 0.625 = 0.625 $ → =
14) $ \frac{4}{5} = 0.8 $ → $ 0.8 < 0.95 $ → <
15) $ \frac{3}{4} = 0.75 $ → $ 0.75 < 0.875 $ → <
16) $ \frac{3}{4} = 0.75 $ → $ 0.75 > 0.625 $ → >
17) $ \frac{2}{5} = 0.4 $ → $ 0.4 = 0.4 $ → =
18) $ \frac{6}{8} = \frac{3}{4} = 0.75 $ → $ 0.75 < 0.825 $ → <
19) $ \frac{2}{3} \approx 0.666... $ → $ 0.666... > 0.592 $ → >
20) $ \frac{2}{3} \approx 0.666... $ → $ 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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✔ Summary Table:

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

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✔ Answer Key:
> < > < > = < < > <
< > = < < > = < > <

You can now fill in the boxes accordingly! Let me know if you'd like a printable version or explanation for any specific one.