Math worksheet for reducing fractions by dividing numerator and denominator by 2.

Let's solve the problem step by step.

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Task:

Divide both the numerator (upper term) and the denominator (lower term) of each fraction by 2 to reduce the fraction to its simplest form.

We are given examples:
- $ \frac{2}{8} = \frac{1}{4} $
- $ \frac{10}{12} = \frac{5}{6} $

So, we'll apply this rule:
> Divide numerator and denominator by 2, if possible.

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Now, let’s solve each problem:

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(1) $ \frac{2}{6} $
Divide numerator and denominator by 2:
$ \frac{2 \div 2}{6 \div 2} = \frac{1}{3} $
✔ Answer: $ \frac{1}{3} $

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(2) $ \frac{4}{6} $
$ \frac{4 \div 2}{6 \div 2} = \frac{2}{3} $
✔ Answer: $ \frac{2}{3} $

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(3) $ \frac{2}{4} $
$ \frac{2 \div 2}{4 \div 2} = \frac{1}{2} $
✔ Answer: $ \frac{1}{2} $

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(4) $ \frac{2}{8} $
$ \frac{2 \div 2}{8 \div 2} = \frac{1}{4} $
✔ Answer: $ \frac{1}{4} $

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(5) $ \frac{6}{8} $
$ \frac{6 \div 2}{8 \div 2} = \frac{3}{4} $
✔ Answer: $ \frac{3}{4} $

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(6) $ \frac{2}{10} $
$ \frac{2 \div 2}{10 \div 2} = \frac{1}{5} $
✔ Answer: $ \frac{1}{5} $

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(7) $ \frac{4}{10} $
$ \frac{4 \div 2}{10 \div 2} = \frac{2}{5} $
✔ Answer: $ \frac{2}{5} $

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(8) $ \frac{6}{10} $
$ \frac{6 \div 2}{10 \div 2} = \frac{3}{5} $
✔ Answer: $ \frac{3}{5} $

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(9) $ \frac{8}{10} $
$ \frac{8 \div 2}{10 \div 2} = \frac{4}{5} $
✔ Answer: $ \frac{4}{5} $

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(10) $ \frac{2}{12} $
$ \frac{2 \div 2}{12 \div 2} = \frac{1}{6} $
✔ Answer: $ \frac{1}{6} $

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(11) $ \frac{2}{14} $
$ \frac{2 \div 2}{14 \div 2} = \frac{1}{7} $
✔ Answer: $ \frac{1}{7} $

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(12) $ \frac{4}{14} $
$ \frac{4 \div 2}{14 \div 2} = \frac{2}{7} $
✔ Answer: $ \frac{2}{7} $

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✔ Final Answers:

| Problem | Answer |
|--------|--------|
| (1) $ \frac{2}{6} $ | $ \frac{1}{3} $ |
| (2) $ \frac{4}{6} $ | $ \frac{2}{3} $ |
| (3) $ \frac{2}{4} $ | $ \frac{1}{2} $ |
| (4) $ \frac{2}{8} $ | $ \frac{1}{4} $ |
| (5) $ \frac{6}{8} $ | $ \frac{3}{4} $ |
| (6) $ \frac{2}{10} $ | $ \frac{1}{5} $ |
| (7) $ \frac{4}{10} $ | $ \frac{2}{5} $ |
| (8) $ \frac{6}{10} $ | $ \frac{3}{5} $ |
| (9) $ \frac{8}{10} $ | $ \frac{4}{5} $ |
| (10) $ \frac{2}{12} $ | $ \frac{1}{6} $ |
| (11) $ \frac{2}{14} $ | $ \frac{1}{7} $ |
| (12) $ \frac{4}{14} $ | $ \frac{2}{7} $ |

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🔍 Explanation:

This exercise teaches reducing fractions by dividing both the numerator and denominator by a common factor — in this case, 2. This process simplifies the fraction while keeping its value the same.

For example:
$$
\frac{4}{6} = \frac{4 \div 2}{6 \div 2} = \frac{2}{3}
$$

Both $ \frac{4}{6} $ and $ \frac{2}{3} $ represent the same amount, but $ \frac{2}{3} $ is in simplest form.

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Let me know if you'd like help with reducing fractions using other numbers or more advanced techniques!