Math worksheet for practicing multiplication and division of fractions with clear examples and space for answers.

Problem: Solving the given fraction multiplication and division problems.

The task involves multiplying and dividing fractions. Let's solve each problem step by step.

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#### 1. Multiplication of Fractions
When multiplying fractions, multiply the numerators together and the denominators together:
\[
\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}
\]

#### 2. Division of Fractions
When dividing fractions, multiply the first fraction by the reciprocal of the second fraction:
\[
\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c} = \frac{a \times d}{b \times c}
\]

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Solutions

#### Row 1: Multiplication
1. $\frac{1}{2} \times \frac{5}{4}$
\[
\frac{1}{2} \times \frac{5}{4} = \frac{1 \times 5}{2 \times 4} = \frac{5}{8}
\]

2. $\frac{1}{4} \times \frac{5}{3}$
\[
\frac{1}{4} \times \frac{5}{3} = \frac{1 \times 5}{4 \times 3} = \frac{5}{12}
\]

3. $\frac{10}{3} \times \frac{11}{6}$
\[
\frac{10}{3} \times \frac{11}{6} = \frac{10 \times 11}{3 \times 6} = \frac{110}{18} = \frac{55}{9}
\]

#### Row 2: Division
4. $\frac{1}{6} \div \frac{8}{11}$
\[
\frac{1}{6} \div \frac{8}{11} = \frac{1}{6} \times \frac{11}{8} = \frac{1 \times 11}{6 \times 8} = \frac{11}{48}
\]

5. $\frac{11}{2} \div \frac{1}{2}$
\[
\frac{11}{2} \div \frac{1}{2} = \frac{11}{2} \times \frac{2}{1} = \frac{11 \times 2}{2 \times 1} = \frac{22}{2} = 11
\]

6. $\frac{1}{2} \div \frac{1}{2}$
\[
\frac{1}{2} \div \frac{1}{2} = \frac{1}{2} \times \frac{2}{1} = \frac{1 \times 2}{2 \times 1} = \frac{2}{2} = 1
\]

#### Row 3: Division
7. $\frac{1}{3} \div \frac{13}{9}$
\[
\frac{1}{3} \div \frac{13}{9} = \frac{1}{3} \times \frac{9}{13} = \frac{1 \times 9}{3 \times 13} = \frac{9}{39} = \frac{3}{13}
\]

8. $\frac{4}{3} \div \frac{11}{12}$
\[
\frac{4}{3} \div \frac{11}{12} = \frac{4}{3} \times \frac{12}{11} = \frac{4 \times 12}{3 \times 11} = \frac{48}{33} = \frac{16}{11}
\]

9. $\frac{14}{9} \times \frac{7}{10}$
\[
\frac{14}{9} \times \frac{7}{10} = \frac{14 \times 7}{9 \times 10} = \frac{98}{90} = \frac{49}{45}
\]

#### Row 4: Division
10. $\frac{13}{4} \div \frac{1}{2}$
\[
\frac{13}{4} \div \frac{1}{2} = \frac{13}{4} \times \frac{2}{1} = \frac{13 \times 2}{4 \times 1} = \frac{26}{4} = \frac{13}{2}
\]

11. $\frac{1}{3} \times \frac{20}{9}$
\[
\frac{1}{3} \times \frac{20}{9} = \frac{1 \times 20}{3 \times 9} = \frac{20}{27}
\]

12. $\frac{15}{8} \times \frac{7}{6}$
\[
\frac{15}{8} \times \frac{7}{6} = \frac{15 \times 7}{8 \times 6} = \frac{105}{48} = \frac{35}{16}
\]

#### Row 5: Division
13. $\frac{17}{6} \div \frac{3}{5}$
\[
\frac{17}{6} \div \frac{3}{5} = \frac{17}{6} \times \frac{5}{3} = \frac{17 \times 5}{6 \times 3} = \frac{85}{18}
\]

14. $\frac{13}{7} \times \frac{14}{11}$
\[
\frac{13}{7} \times \frac{14}{11} = \frac{13 \times 14}{7 \times 11} = \frac{182}{77} = \frac{26}{11}
\]

15. $\frac{3}{2} \times \frac{4}{9}$
\[
\frac{3}{2} \times \frac{4}{9} = \frac{3 \times 4}{2 \times 9} = \frac{12}{18} = \frac{2}{3}
\]

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Final Answers

\[
\boxed{
\begin{array}{ccc}
\frac{5}{8} & \frac{5}{12} & \frac{55}{9} \\
\frac{11}{48} & 11 & 1 \\
\frac{3}{13} & \frac{16}{11} & \frac{49}{45} \\
\frac{13}{2} & \frac{20}{27} & \frac{35}{16} \\
\frac{85}{18} & \frac{26}{11} & \frac{2}{3}
\end{array}
}
\]