Comparing Fractions | Grade1to6.com - Free Printable

Let's solve each problem step by step by comparing the fractions shown in the circles. Each circle is divided into equal parts, and some parts are shaded. We will determine the fraction represented by each circle and then compare them using >, <, or =.

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1.

- Left circle: Divided into 5 parts, 1 shaded → $ \frac{1}{5} $
- Right circle: Divided into 6 parts, 3 shaded → $ \frac{3}{6} = \frac{1}{2} $

Compare:
$ \frac{1}{5} < \frac{1}{2} $
✔ Answer: <

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2.

- Left circle: Divided into 12 parts, 4 shaded → $ \frac{4}{12} = \frac{1}{3} $
- Right circle: Divided into 8 parts, 4 shaded → $ \frac{4}{8} = \frac{1}{2} $

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

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3.

- Left circle: Divided into 8 parts, 4 shaded → $ \frac{4}{8} = \frac{1}{2} $
- Right circle: Divided into 8 parts, 6 shaded → $ \frac{6}{8} = \frac{3}{4} $

Compare:
$ \frac{1}{2} < \frac{3}{4} $
✔ Answer: <

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4.

- Left circle: Divided into 6 parts, 3 shaded → $ \frac{3}{6} = \frac{1}{2} $
- Right circle: Divided into 8 parts, 6 shaded → $ \frac{6}{8} = \frac{3}{4} $

Compare:
$ \frac{1}{2} < \frac{3}{4} $
✔ Answer: <

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5.

- Left circle: Divided into 12 parts, 8 shaded → $ \frac{8}{12} = \frac{2}{3} $
- Right circle: Divided into 10 parts, 5 shaded → $ \frac{5}{10} = \frac{1}{2} $

Compare:
$ \frac{2}{3} > \frac{1}{2} $
✔ Answer: >

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6.

- Left circle: Divided into 8 parts, 6 shaded → $ \frac{6}{8} = \frac{3}{4} $
- Right circle: Divided into 6 parts, 3 shaded → $ \frac{3}{6} = \frac{1}{2} $

Compare:
$ \frac{3}{4} > \frac{1}{2} $
✔ Answer: >

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7.

- Left circle: Divided into 8 parts, 5 shaded → $ \frac{5}{8} $
- Right circle: Divided into 8 parts, 3 shaded → $ \frac{3}{8} $

Compare:
$ \frac{5}{8} > \frac{3}{8} $
✔ Answer: >

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8.

- Left circle: Divided into 10 parts, 4 shaded → $ \frac{4}{10} = \frac{2}{5} $
- Right circle: Divided into 10 parts, 3 shaded → $ \frac{3}{10} $

Compare:
$ \frac{4}{10} > \frac{3}{10} $
✔ Answer: >

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9.

- Left circle: Divided into 10 parts, 6 shaded → $ \frac{6}{10} = \frac{3}{5} $
- Right circle: Divided into 10 parts, 2 shaded → $ \frac{2}{10} = \frac{1}{5} $

Compare:
$ \frac{6}{10} > \frac{2}{10} $
✔ Answer: >

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10.

- Left circle: Divided into 8 parts, 5 shaded → $ \frac{5}{8} $
- Right circle: Divided into 6 parts, 4 shaded → $ \frac{4}{6} = \frac{2}{3} $

Now compare $ \frac{5}{8} $ and $ \frac{2}{3} $

Find a common denominator:
LCM of 8 and 6 is 24
- $ \frac{5}{8} = \frac{15}{24} $
- $ \frac{2}{3} = \frac{16}{24} $

So, $ \frac{15}{24} < \frac{16}{24} $ → $ \frac{5}{8} < \frac{2}{3} $

✔ Answer: <

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✔ Final Answers:

| Problem | Answer |
|--------|--------|
| 1 | < |
| 2 | < |
| 3 | < |
| 4 | < |
| 5 | > |
| 6 | > |
| 7 | > |
| 8 | > |
| 9 | > |
| 10 | < |

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📝 Explanation Summary:

To compare fractions:
1. Count total parts (denominator).
2. Count shaded parts (numerator).
3. Write the fraction.
4. Compare either by converting to same denominator or estimating size.

For example:
- $ \frac{1}{2} = 0.5 $, $ \frac{1}{3} \approx 0.33 $ → so $ \frac{1}{2} > \frac{1}{3} $
- If denominators are same, just compare numerators.

This helps build understanding of relative sizes of fractions visually.

Let me know if you'd like this as a printable answer key!