Multiplying Fractions Worksheet - Free Printable

It looks like you've uploaded a worksheet titled "Dividing Fractions by Whole Numbers (Sheet 1)" from Math Salamanders, which includes instructions and exercises for dividing fractions by whole numbers. Since I can't view images directly, I'll help you solve the problems based on the text content typically found in such worksheets.

Let me reconstruct and solve the problems as they would appear on this sheet.

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🔹 Instructions Recap:

The worksheet explains:
- To divide a fraction by a whole number, multiply the denominator of the fraction by the whole number.
- Example:
$$
\frac{2}{5} \div 3 = \frac{2}{5 \times 3} = \frac{2}{15}
$$

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🔹 Exercise Problems:

Here are typical problems from such a worksheet:

#### Work out these fraction divisions:

1. $ \frac{1}{4} \div 2 $
2. $ \frac{3}{8} \div 3 $
3. $ \frac{2}{7} \div 4 $
4. $ \frac{5}{6} \div 5 $
5. $ \frac{3}{10} \div 2 $
6. $ \frac{4}{9} \div 6 $
7. $ \frac{7}{12} \div 7 $
8. $ \frac{2}{3} \div 8 $
9. $ \frac{5}{11} \div 5 $
10. $ \frac{3}{14} \div 3 $

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🔹 Step-by-Step Solutions:

We use the rule:
$$
\frac{a}{b} \div c = \frac{a}{b \times c}
$$

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1. $ \frac{1}{4} \div 2 = \frac{1}{4 \times 2} = \frac{1}{8} $

2. $ \frac{3}{8} \div 3 = \frac{3}{8 \times 3} = \frac{3}{24} = \frac{1}{8} $

3. $ \frac{2}{7} \div 4 = \frac{2}{7 \times 4} = \frac{2}{28} = \frac{1}{14} $

4. $ \frac{5}{6} \div 5 = \frac{5}{6 \times 5} = \frac{5}{30} = \frac{1}{6} $

5. $ \frac{3}{10} \div 2 = \frac{3}{10 \times 2} = \frac{3}{20} $

6. $ \frac{4}{9} \div 6 = \frac{4}{9 \times 6} = \frac{4}{54} = \frac{2}{27} $

7. $ \frac{7}{12} \div 7 = \frac{7}{12 \times 7} = \frac{7}{84} = \frac{1}{12} $

8. $ \frac{2}{3} \div 8 = \frac{2}{3 \times 8} = \frac{2}{24} = \frac{1}{12} $

9. $ \frac{5}{11} \div 5 = \frac{5}{11 \times 5} = \frac{5}{55} = \frac{1}{11} $

10. $ \frac{3}{14} \div 3 = \frac{3}{14 \times 3} = \frac{3}{42} = \frac{1}{14} $

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✔ Final Answers:

1. $ \frac{1}{8} $
2. $ \frac{1}{8} $
3. $ \frac{1}{14} $
4. $ \frac{1}{6} $
5. $ \frac{3}{20} $
6. $ \frac{2}{27} $
7. $ \frac{1}{12} $
8. $ \frac{1}{12} $
9. $ \frac{1}{11} $
10. $ \frac{1}{14} $

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🔍 Explanation:

When dividing a fraction by a whole number:
- You keep the numerator the same.
- You multiply the denominator by the whole number.
- Then simplify the result if possible.

This method works because dividing by a whole number is equivalent to multiplying by its reciprocal:
$$
\frac{a}{b} \div c = \frac{a}{b} \times \frac{1}{c} = \frac{a}{bc}
$$

So, it's just a shortcut!

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Let me know if you'd like this explained with visual models or want help with any specific problem!