Fractions - Grade 4 Math Worksheets - Free Printable

Let's solve the Fraction Worksheet step by step. The goal is to compare each pair of fractions and fill in the correct symbol:
- `>` (greater than)
- `<` (less than)
- `=` (equal to)

We'll go through each row and explain how to compare the fractions.

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1. Compare:

#### a) $ \frac{2}{3} \circ \frac{1}{3} $

- Same denominator → compare numerators: 2 > 1
✔ $ \frac{2}{3} > \frac{1}{3} $

#### b) $ \frac{3}{4} \circ \frac{2}{4} $

- Same denominator → 3 > 2
✔ $ \frac{3}{4} > \frac{2}{4} $

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2. Compare:

#### a) $ \frac{2}{4} \circ \frac{1}{4} $

- Same denominator → 2 > 1
✔ $ \frac{2}{4} > \frac{1}{4} $

#### b) $ \frac{1}{2} \circ \frac{1}{3} $

- Different denominators → find common denominator: LCM of 2 and 3 = 6
- $ \frac{1}{2} = \frac{3}{6}, \frac{1}{3} = \frac{2}{6} $ → 3 > 2
✔ $ \frac{1}{2} > \frac{1}{3} $

#### c) $ \frac{3}{6} \circ \frac{5}{6} $

- Same denominator → 3 < 5
✔ $ \frac{3}{6} < \frac{5}{6} $

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3. Compare:

#### a) $ \frac{4}{8} \circ \frac{5}{8} $

- Same denominator → 4 < 5
✔ $ \frac{4}{8} < \frac{5}{8} $

#### b) $ \frac{1}{3} \circ \frac{1}{4} $

- Common denominator: LCM of 3 and 4 = 12
- $ \frac{1}{3} = \frac{4}{12}, \frac{1}{4} = \frac{3}{12} $ → 4 > 3
✔ $ \frac{1}{3} > \frac{1}{4} $

#### c) $ \frac{2}{6} \circ \frac{2}{5} $

- Same numerator → smaller denominator means larger fraction
- 6 > 5 → so $ \frac{2}{6} < \frac{2}{5} $
✔ $ \frac{2}{6} < \frac{2}{5} $

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4. Compare:

#### a) $ \frac{2}{5} \circ \frac{2}{10} $

- Same numerator → smaller denominator → larger fraction
- 5 < 10 → $ \frac{2}{5} > \frac{2}{10} $
✔ $ \frac{2}{5} > \frac{2}{10} $

#### b) $ \frac{3}{7} \circ \frac{3}{6} $

- Same numerator → smaller denominator → larger fraction
- 7 > 6 → $ \frac{3}{7} < \frac{3}{6} $
✔ $ \frac{3}{7} < \frac{3}{6} $

#### c) $ \frac{1}{3} \circ \frac{1}{9} $

- Same numerator → 3 < 9 → $ \frac{1}{3} > \frac{1}{9} $
✔ $ \frac{1}{3} > \frac{1}{9} $

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5. Compare:

#### a) $ \frac{2}{4} \circ \frac{2}{5} $

- Same numerator → smaller denominator → larger fraction
- 4 < 5 → $ \frac{2}{4} > \frac{2}{5} $
✔ $ \frac{2}{4} > \frac{2}{5} $

#### b) $ \frac{1}{5} \circ \frac{1}{4} $

- Same numerator → 5 > 4 → $ \frac{1}{5} < \frac{1}{4} $
✔ $ \frac{1}{5} < \frac{1}{4} $

#### c) $ \frac{3}{6} \circ \frac{3}{4} $

- Same numerator → 6 > 4 → $ \frac{3}{6} < \frac{3}{4} $
✔ $ \frac{3}{6} < \frac{3}{4} $

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6. Compare:

#### a) $ \frac{1}{9} \circ \frac{1}{3} $

- Same numerator → 9 > 3 → $ \frac{1}{9} < \frac{1}{3} $
✔ $ \frac{1}{9} < \frac{1}{3} $

#### b) $ \frac{6}{9} \circ \frac{5}{9} $

- Same denominator → 6 > 5
✔ $ \frac{6}{9} > \frac{5}{9} $

#### c) $ \frac{1}{3} \circ \frac{1}{2} $

- Common denominator: 6
- $ \frac{1}{3} = \frac{2}{6}, \frac{1}{2} = \frac{3}{6} $ → 2 < 3
✔ $ \frac{1}{3} < \frac{1}{2} $

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7. Compare:

#### a) $ \frac{1}{3} \circ \frac{0}{3} $

- Any number > 0 → $ \frac{1}{3} > \frac{0}{3} $
✔ $ \frac{1}{3} > \frac{0}{3} $

#### b) $ \frac{5}{4} \circ \frac{5}{8} $

- Same numerator → 4 < 8 → $ \frac{5}{4} > \frac{5}{8} $
✔ $ \frac{5}{4} > \frac{5}{8} $

#### c) $ \frac{2}{6} \circ \frac{2}{3} $

- Same numerator → 6 > 3 → $ \frac{2}{6} < \frac{2}{3} $
✔ $ \frac{2}{6} < \frac{2}{3} $

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8. Compare:

#### a) $ \frac{1}{7} \circ \frac{1}{6} $

- Same numerator → 7 > 6 → $ \frac{1}{7} < \frac{1}{6} $
✔ $ \frac{1}{7} < \frac{1}{6} $

#### b) $ \frac{2}{4} \circ \frac{2}{3} $

- Same numerator → 4 > 3 → $ \frac{2}{4} < \frac{2}{3} $
✔ $ \frac{2}{4} < \frac{2}{3} $

#### c) $ \frac{2}{4} \circ \frac{2}{5} $

- Same numerator → 4 < 5 → $ \frac{2}{4} > \frac{2}{5} $
✔ $ \frac{2}{4} > \frac{2}{5} $

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✔ Final Answer Key:

| Problem | Answer |
|--------|--------|
| $ \frac{2}{3} \circ \frac{1}{3} $ | > |
| $ \frac{3}{4} \circ \frac{2}{4} $ | > |
| $ \frac{2}{4} \circ \frac{1}{4} $ | > |
| $ \frac{1}{2} \circ \frac{1}{3} $ | > |
| $ \frac{3}{6} \circ \frac{5}{6} $ | < |
| $ \frac{4}{8} \circ \frac{5}{8} $ | < |
| $ \frac{1}{3} \circ \frac{1}{4} $ | > |
| $ \frac{2}{6} \circ \frac{2}{5} $ | < |
| $ \frac{2}{5} \circ \frac{2}{10} $ | > |
| $ \frac{3}{7} \circ \frac{3}{6} $ | < |
| $ \frac{1}{3} \circ \frac{1}{9} $ | > |
| $ \frac{2}{4} \circ \frac{2}{5} $ | > |
| $ \frac{1}{5} \circ \frac{1}{4} $ | < |
| $ \frac{3}{6} \circ \frac{3}{4} $ | < |
| $ \frac{1}{9} \circ \frac{1}{3} $ | < |
| $ \frac{6}{9} \circ \frac{5}{9} $ | > |
| $ \frac{1}{3} \circ \frac{1}{2} $ | < |
| $ \frac{1}{3} \circ \frac{0}{3} $ | > |
| $ \frac{5}{4} \circ \frac{5}{8} $ | > |
| $ \frac{2}{6} \circ \frac{2}{3} $ | < |
| $ \frac{1}{7} \circ \frac{1}{6} $ | < |
| $ \frac{2}{4} \circ \frac{2}{3} $ | < |
| $ \frac{2}{4} \circ \frac{2}{5} $ | > |

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🔍 Summary Tips:

- Same denominator: Compare numerators.
- Same numerator: Smaller denominator → larger fraction.
- Different both: Use cross-multiplication or common denominators.

Let me know if you'd like this as a printable PDF or want explanations for any specific one! 😊