Divide Fractions worksheet with 10 problems and answer spaces.

Let's solve the "Divide Fractions" worksheet step by step. We'll go through each problem and explain how to divide fractions.

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🔷 Rule for Dividing Fractions:

To divide two fractions, multiply by the reciprocal of the divisor:

$$
\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}
$$

If dividing a fraction by a whole number, write the whole number as a fraction over 1:

$$
\frac{a}{b} \div c = \frac{a}{b} \div \frac{c}{1} = \frac{a}{b} \times \frac{1}{c}
$$

Then simplify the result.

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✔ Left Side Problems (First Column):

#### 1. $ \frac{3}{4} \div 2 $

Convert 2 to $ \frac{2}{1} $:
$$
\frac{3}{4} \div \frac{2}{1} = \frac{3}{4} \times \frac{1}{2} = \frac{3}{8}
$$

✔ Answer: $ \boxed{\frac{3}{8}} $

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#### 2. $ \frac{1}{2} \div 2 $

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

✔ Answer: $ \boxed{\frac{1}{4}} $

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#### 3. $ \frac{3}{4} \div 6 $

$$
\frac{3}{4} \div \frac{6}{1} = \frac{3}{4} \times \frac{1}{6} = \frac{3}{24} = \frac{1}{8}
$$

✔ Answer: $ \boxed{\frac{1}{8}} $

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#### 4. $ \frac{4}{5} \div 2 $

$$
\frac{4}{5} \div \frac{2}{1} = \frac{4}{5} \times \frac{1}{2} = \frac{4}{10} = \frac{2}{5}
$$

✔ Answer: $ \boxed{\frac{2}{5}} $

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#### 5. $ \frac{5}{8} \div 4 $

$$
\frac{5}{8} \div \frac{4}{1} = \frac{5}{8} \times \frac{1}{4} = \frac{5}{32}
$$

✔ Answer: $ \boxed{\frac{5}{32}} $

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✔ Right Side Problems (Second Column):

#### 6. $ \frac{1}{4} \div 7 $

$$
\frac{1}{4} \div \frac{7}{1} = \frac{1}{4} \times \frac{1}{7} = \frac{1}{28}
$$

✔ Answer: $ \boxed{\frac{1}{28}} $

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#### 7. $ \frac{7}{8} \div 3 $

$$
\frac{7}{8} \div \frac{3}{1} = \frac{7}{8} \times \frac{1}{3} = \frac{7}{24}
$$

✔ Answer: $ \boxed{\frac{7}{24}} $

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#### 8. $ \frac{3}{9} \div 5 $

First simplify $ \frac{3}{9} = \frac{1}{3} $

$$
\frac{1}{3} \div 5 = \frac{1}{3} \times \frac{1}{5} = \frac{1}{15}
$$

✔ Answer: $ \boxed{\frac{1}{15}} $

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#### 9. $ \frac{5}{12} \div 6 $

$$
\frac{5}{12} \div \frac{6}{1} = \frac{5}{12} \times \frac{1}{6} = \frac{5}{72}
$$

✔ Answer: $ \boxed{\frac{5}{72}} $

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#### 10. $ \frac{3}{5} \div 4 $

$$
\frac{3}{5} \div \frac{4}{1} = \frac{3}{5} \times \frac{1}{4} = \frac{3}{20}
$$

✔ Answer: $ \boxed{\frac{3}{20}} $

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✔ Final Answers (All in Simplest Form):

| Problem | Answer |
|--------|--------|
| 1. $ \frac{3}{4} \div 2 $ | $ \frac{3}{8} $ |
| 2. $ \frac{1}{2} \div 2 $ | $ \frac{1}{4} $ |
| 3. $ \frac{3}{4} \div 6 $ | $ \frac{1}{8} $ |
| 4. $ \frac{4}{5} \div 2 $ | $ \frac{2}{5} $ |
| 5. $ \frac{5}{8} \div 4 $ | $ \frac{5}{32} $ |
| 6. $ \frac{1}{4} \div 7 $ | $ \frac{1}{28} $ |
| 7. $ \frac{7}{8} \div 3 $ | $ \frac{7}{24} $ |
| 8. $ \frac{3}{9} \div 5 $ | $ \frac{1}{15} $ |
| 9. $ \frac{5}{12} \div 6 $ | $ \frac{5}{72} $ |
| 10. $ \frac{3}{5} \div 4 $ | $ \frac{3}{20} $ |

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🎯 Summary Tips:

- Always convert whole numbers to fractions ($ 2 = \frac{2}{1} $).
- Flip the second fraction (reciprocal) and multiply.
- Simplify the final answer if possible.

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