Compare fractions with the same denominators on this educational worksheet.

Let's solve this step-by-step.

Task:

Compare the fractions with the same denominators.
When two fractions have the same denominator, we can compare them by looking at their numerators:
- The fraction with the larger numerator is the larger fraction.
- Use the symbols:
- `<` (less than)
- `>` (greater than)
- `=` (equal to)

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We'll go through each row and fill in the correct symbol.

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Row 1:

1. $ \frac{2}{6} \quad \boxed{<} \quad \frac{4}{6} $
→ 2 < 4 → so $ \frac{2}{6} < \frac{4}{6} $

2. $ \frac{6}{8} \quad \boxed{>} \quad \frac{3}{8} $
→ 6 > 3 → so $ \frac{6}{8} > \frac{3}{8} $

3. $ \frac{1}{3} \quad \boxed{<} \quad \frac{2}{3} $
→ 1 < 2 → so $ \frac{1}{3} < \frac{2}{3} $

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Row 2:

4. $ \frac{3}{4} \quad \boxed{>} \quad \frac{1}{4} $
→ 3 > 1 → so $ \frac{3}{4} > \frac{1}{4} $

5. $ \frac{5}{6} \quad \boxed{>} \quad \frac{3}{6} $
→ 5 > 3 → so $ \frac{5}{6} > \frac{3}{6} $

6. $ \frac{1}{4} \quad \boxed{<} \quad \frac{2}{4} $
→ 1 < 2 → so $ \frac{1}{4} < \frac{2}{4} $

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Row 3:

7. $ \frac{1}{8} \quad \boxed{<} \quad \frac{5}{8} $
→ 1 < 5 → so $ \frac{1}{8} < \frac{5}{8} $

8. $ \frac{2}{8} \quad \boxed{<} \quad \frac{4}{8} $
→ 2 < 4 → so $ \frac{2}{8} < \frac{4}{8} $

9. $ \frac{4}{6} \quad \boxed{>} \quad \frac{2}{6} $
→ 4 > 2 → so $ \frac{4}{6} > \frac{2}{6} $

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Row 4:

10. $ \frac{3}{3} \quad \boxed{>} \quad \frac{1}{3} $
→ 3 > 1 → so $ \frac{3}{3} > \frac{1}{3} $

11. $ \frac{2}{4} \quad \boxed{<} \quad \frac{3}{4} $
→ 2 < 3 → so $ \frac{2}{4} < \frac{3}{4} $

12. $ \frac{7}{8} \quad \boxed{>} \quad \frac{5}{8} $
→ 7 > 5 → so $ \frac{7}{8} > \frac{5}{8} $

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Row 5:

13. $ \frac{5}{6} \quad \boxed{>} \quad \frac{2}{6} $
→ 5 > 2 → so $ \frac{5}{6} > \frac{2}{6} $

14. $ \frac{1}{3} \quad \boxed{<} \quad \frac{2}{3} $
→ 1 < 2 → so $ \frac{1}{3} < \frac{2}{3} $

15. $ \frac{3}{6} \quad \boxed{<} \quad \frac{4}{6} $
→ 3 < 4 → so $ \frac{3}{6} < \frac{4}{6} $

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Row 6:

16. $ \frac{6}{6} \quad \boxed{>} \quad \frac{2}{6} $
→ 6 > 2 → so $ \frac{6}{6} > \frac{2}{6} $

17. $ \frac{5}{8} \quad \boxed{>} \quad \frac{1}{8} $
→ 5 > 1 → so $ \frac{5}{8} > \frac{1}{8} $

18. $ \frac{4}{4} \quad \boxed{=} \quad \frac{2}{4} $?
Wait — denominators are different!
But the instruction says "same denominators". Let's check:
$ \frac{4}{4} $ vs $ \frac{2}{4} $ → Same denominator (4) → yes!
So: 4 > 2 → $ \frac{4}{4} > \frac{2}{4} $

✔ So: $ \frac{4}{4} \quad \boxed{>} \quad \frac{2}{4} $

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Row 7:

19. $ \frac{3}{8} \quad \boxed{<} \quad \frac{6}{8} $
→ 3 < 6 → so $ \frac{3}{8} < \frac{6}{8} $

20. $ \frac{1}{3} \quad \boxed{<} \quad \frac{3}{3} $
→ 1 < 3 → so $ \frac{1}{3} < \frac{3}{3} $

21. $ \frac{5}{6} \quad \boxed{>} \quad \frac{2}{6} $
→ 5 > 2 → so $ \frac{5}{6} > \frac{2}{6} $

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Row 8:

22. $ \frac{3}{6} \quad \boxed{>} \quad \frac{2}{6} $
→ 3 > 2 → so $ \frac{3}{6} > \frac{2}{6} $

23. $ \frac{1}{4} \quad \boxed{<} \quad \frac{2}{4} $
→ 1 < 2 → so $ \frac{1}{4} < \frac{2}{4} $

24. $ \frac{2}{8} \quad \boxed{<} \quad \frac{5}{8} $
→ 2 < 5 → so $ \frac{2}{8} < \frac{5}{8} $

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✔ Final Answer:

Here’s the completed worksheet:

```
Fractions 18
Compare the fractions with the same denominators.

2/6 < 4/6 6/8 > 3/8 1/3 < 2/3
3/4 > 1/4 5/6 > 3/6 1/4 < 2/4
1/8 < 5/8 2/8 < 4/8 4/6 > 2/6
3/3 > 1/3 2/4 < 3/4 7/8 > 5/8
5/6 > 2/6 1/3 < 2/3 3/6 < 4/6
6/6 > 2/6 5/8 > 1/8 4/4 > 2/4
3/8 < 6/8 1/3 < 3/3 5/6 > 2/6
3/6 > 2/6 1/4 < 2/4 2/8 < 5/8
```

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🔍 Explanation:

- When comparing fractions with the same denominator, only the numerator matters.
- The larger numerator means a larger fraction.
- Example: $ \frac{5}{8} > \frac{3}{8} $ because 5 > 3, even though both represent parts of an eighth.

This concept helps build understanding of how fractions relate to each other when they are divided into equal parts.

✔ All comparisons are now correctly filled in!