Dividing Fractions Worksheet 5 featuring fraction division exercises and a small frog graphic.

The image shows a worksheet titled "Dividing Fractions Sheet 5," which involves dividing fractions. The task is to solve each division problem and express the answer as a mixed number if possible, rounded to two decimal places.

Steps to Solve Dividing Fractions:

1. Understand the Rule: To divide fractions, you multiply the first fraction by the reciprocal of the second fraction.
- If you have \( \frac{a}{b} \div \frac{c}{d} \), it becomes \( \frac{a}{b} \times \frac{d}{c} \).

2. Simplify: After multiplying, simplify the resulting fraction if possible. If the result is an improper fraction (numerator > denominator), convert it to a mixed number.

3. Round: If the result is a decimal, round it to two decimal places.

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Let's Solve Each Problem:

#### 1. \( \frac{1}{2} \div \frac{1}{4} \)
- Convert to multiplication: \( \frac{1}{2} \times \frac{4}{1} = \frac{1 \times 4}{2 \times 1} = \frac{4}{2} = 2 \)
- Answer: \( 2 \)

#### 2. \( \frac{3}{4} \div \frac{1}{8} \)
- Convert to multiplication: \( \frac{3}{4} \times \frac{8}{1} = \frac{3 \times 8}{4 \times 1} = \frac{24}{4} = 6 \)
- Answer: \( 6 \)

#### 3. \( \frac{2}{3} \div \frac{1}{6} \)
- Convert to multiplication: \( \frac{2}{3} \times \frac{6}{1} = \frac{2 \times 6}{3 \times 1} = \frac{12}{3} = 4 \)
- Answer: \( 4 \)

#### 4. \( \frac{5}{6} \div \frac{1}{12} \)
- Convert to multiplication: \( \frac{5}{6} \times \frac{12}{1} = \frac{5 \times 12}{6 \times 1} = \frac{60}{6} = 10 \)
- Answer: \( 10 \)

#### 5. \( \frac{7}{8} \div \frac{1}{16} \)
- Convert to multiplication: \( \frac{7}{8} \times \frac{16}{1} = \frac{7 \times 16}{8 \times 1} = \frac{112}{8} = 14 \)
- Answer: \( 14 \)

#### 6. \( \frac{3}{5} \div \frac{1}{10} \)
- Convert to multiplication: \( \frac{3}{5} \times \frac{10}{1} = \frac{3 \times 10}{5 \times 1} = \frac{30}{5} = 6 \)
- Answer: \( 6 \)

#### 7. \( \frac{4}{7} \div \frac{1}{14} \)
- Convert to multiplication: \( \frac{4}{7} \times \frac{14}{1} = \frac{4 \times 14}{7 \times 1} = \frac{56}{7} = 8 \)
- Answer: \( 8 \)

#### 8. \( \frac{5}{9} \div \frac{1}{18} \)
- Convert to multiplication: \( \frac{5}{9} \times \frac{18}{1} = \frac{5 \times 18}{9 \times 1} = \frac{90}{9} = 10 \)
- Answer: \( 10 \)

#### 9. \( \frac{6}{11} \div \frac{1}{22} \)
- Convert to multiplication: \( \frac{6}{11} \times \frac{22}{1} = \frac{6 \times 22}{11 \times 1} = \frac{132}{11} = 12 \)
- Answer: \( 12 \)

#### 10. \( \frac{7}{13} \div \frac{1}{26} \)
- Convert to multiplication: \( \frac{7}{13} \times \frac{26}{1} = \frac{7 \times 26}{13 \times 1} = \frac{182}{13} = 14 \)
- Answer: \( 14 \)

#### 11. \( \frac{8}{15} \div \frac{1}{30} \)
- Convert to multiplication: \( \frac{8}{15} \times \frac{30}{1} = \frac{8 \times 30}{15 \times 1} = \frac{240}{15} = 16 \)
- Answer: \( 16 \)

#### 12. \( \frac{9}{17} \div \frac{1}{34} \)
- Convert to multiplication: \( \frac{9}{17} \times \frac{34}{1} = \frac{9 \times 34}{17 \times 1} = \frac{306}{17} = 18 \)
- Answer: \( 18 \)

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Final Answers:

\[
\boxed{
\begin{array}{ll}
1. & 2 \\
2. & 6 \\
3. & 4 \\
4. & 10 \\
5. & 14 \\
6. & 6 \\
7. & 8 \\
8. & 10 \\
9. & 12 \\
10. & 14 \\
11. & 16 \\
12. & 18 \\
\end{array}
}
\]