Comparing Fractions - Worksheet Digital - Free Printable

Let's solve each fraction comparison step by step using the visual models provided and explain the reasoning.

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1. Compare: $ \frac{3}{4} \quad \boxed{} \quad \frac{1}{4} $

- The first bar is divided into 4 parts, with 3 shaded → represents $ \frac{3}{4} $
- The second bar is divided into 4 parts, with 1 shaded → represents $ \frac{1}{4} $
- Since 3 > 1, and both have the same denominator (4), we can directly compare numerators.

✔ Answer: $ \frac{3}{4} > \frac{1}{4} $

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2. Compare: $ \frac{1}{3} \quad \boxed{} \quad \frac{2}{3} $

- First bar: 3 parts, 1 shaded → $ \frac{1}{3} $
- Second bar: 3 parts, 2 shaded → $ \frac{2}{3} $
- Numerator 1 < 2, same denominator → smaller fraction

✔ Answer: $ \frac{1}{3} < \frac{2}{3} $

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3. Compare: $ \frac{5}{8} \quad \boxed{} \quad \frac{7}{8} $

- First bar: 8 parts, 5 shaded → $ \frac{5}{8} $
- Second bar: 8 parts, 7 shaded → $ \frac{7}{8} $
- Same denominator, 5 < 7 → so $ \frac{5}{8} $ is smaller

✔ Answer: $ \frac{5}{8} < \frac{7}{8} $

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4. Compare: $ \frac{2}{7} \quad \boxed{} \quad \frac{4}{7} $

- First bar: 7 parts, 2 shaded → $ \frac{2}{7} $
- Second bar: 7 parts, 4 shaded → $ \frac{4}{7} $
- Same denominator, 2 < 4 → $ \frac{2}{7} $ is smaller

✔ Answer: $ \frac{2}{7} < \frac{4}{7} $

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5. Compare: $ \frac{6}{9} \quad \boxed{} \quad \frac{4}{9} $

- First bar: 9 parts, 6 shaded → $ \frac{6}{9} $
- Second bar: 9 parts, 4 shaded → $ \frac{4}{9} $
- Same denominator, 6 > 4 → $ \frac{6}{9} $ is larger

✔ Answer: $ \frac{6}{9} > \frac{4}{9} $

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6. Compare: $ \frac{9}{10} \quad \boxed{} \quad \frac{3}{10} $

- First bar: 10 parts, 9 shaded → $ \frac{9}{10} $
- Second bar: 10 parts, 3 shaded → $ \frac{3}{10} $
- Same denominator, 9 > 3 → $ \frac{9}{10} $ is larger

✔ Answer: $ \frac{9}{10} > \frac{3}{10} $

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✔ Final Answers:

1. $ \frac{3}{4} > \frac{1}{4} $
2. $ \frac{1}{3} < \frac{2}{3} $
3. $ \frac{5}{8} < \frac{7}{8} $
4. $ \frac{2}{7} < \frac{4}{7} $
5. $ \frac{6}{9} > \frac{4}{9} $
6. $ \frac{9}{10} > \frac{3}{10} $

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🔍 Explanation:

When comparing fractions with the same denominator, you only need to compare the numerators:
- The fraction with the larger numerator is greater.
- The fraction with the smaller numerator is less.
- If numerators are equal, the fractions are equal.

In all these problems, the denominators are the same, so it’s straightforward!

Let me know if you’d like this converted into a printable answer sheet!