Dividing Fractions Worksheet - Free Printable

It looks like you've uploaded an image of a completed worksheet titled *"Multiplying and Dividing Fractions 2 Answers"*, which shows the solutions to 24 fraction problems involving multiplication and division. Since this is already solved, I'll explain how each type of problem is solved and walk through a few examples to clarify the process.

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🔷 General Rules for Multiplying and Dividing Fractions

#### ✔ Multiplying Fractions:
To multiply two fractions:
- Multiply the numerators together.
- Multiply the denominators together.
- Simplify the result if possible.

> Example:
> $$
> \frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}
> $$

#### ✔ Dividing Fractions:
To divide two fractions:
- Keep the first fraction.
- Change the division sign to multiplication.
- Flip (reciprocal) the second fraction.
- Then multiply as usual.

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

Then simplify.

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🔍 Let’s Walk Through a Few Examples from the Worksheet:

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#### Problem 1:
$$
\frac{2}{9} \times \frac{1}{2} = \frac{2 \times 1}{9 \times 2} = \frac{2}{18} = \frac{1}{9}
$$
✔ Simplified by dividing numerator and denominator by 2.

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#### Problem 2:
$$
\frac{3}{5} \div \frac{2}{3} = \frac{3}{5} \times \frac{3}{2} = \frac{9}{10}
$$
✔ We flipped the second fraction ($\frac{2}{3}$ → $\frac{3}{2}$), then multiplied.

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#### Problem 4:
$$
\frac{3}{8} \div \frac{3}{7} = \frac{3}{8} \times \frac{7}{3} = \frac{21}{24} = \frac{7}{8}
$$
✔ After multiplying, simplified by dividing numerator and denominator by 3.

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#### Problem 6:
$$
\frac{7}{6} \div \frac{3}{4} = \frac{7}{6} \times \frac{4}{3} = \frac{28}{18} = \frac{14}{9}
$$
✔ Reduced by dividing both by 2.

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#### Problem 12:
$$
\frac{7}{4} \div \frac{5}{8} = \frac{7}{4} \times \frac{8}{5} = \frac{56}{20} = \frac{14}{5}
$$
✔ Simplified by dividing both by 4.

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#### Problem 16:
$$
\frac{4}{5} \div \frac{2}{5} = \frac{4}{5} \times \frac{5}{2} = \frac{20}{10} = 2
$$
✔ The 5s cancel out, and 20 ÷ 10 = 2.

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🧠 Tips for Solving These Problems:

1. Always check if you can simplify before multiplying (cross-canceling).
- For example:
$$
\frac{2}{9} \times \frac{1}{2} \Rightarrow \text{Cancel 2 in numerator and denominator: } \frac{1}{9} \times \frac{1}{1} = \frac{1}{9}
$$

2. For division, remember: "Keep, Change, Flip" (KCF).

3. Simplify final answers — reduce to lowest terms or convert to mixed numbers if needed.

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✔ Summary of Key Steps:

| Operation | Steps |
|---------|-------|
| Multiply | Numerator × Numerator / Denominator × Denominator → Simplify |
| Divide | Keep first, change to ×, flip second → Multiply → Simplify |

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💡 Final Notes:

The worksheet you shared is correct and well-formatted. It's a great resource for practicing fraction operations. If you'd like help with any specific problem, or want a version of this with only the questions (without answers), let me know!

Would you like me to generate a similar worksheet with new problems? Or explain any particular step in more detail?