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Apuntes

• Subtopic: Fraction Calculations The given expressions involve multiplication and division of fractions: - \( \frac{9}{5} \times \frac{3}{2} \) - \( \frac{2}{3} \div \frac{1}{3} \) - \( \frac{7}{6} \times \frac{2}{3} \) - \( \frac{3}{4} \div \frac{2}{2} \) - \( \frac{5}{6} \times \frac{2}{5} \) - \( \frac{9}{5} \div \frac{3}{2} \) - \( \frac{3}{7} \times \frac{4}{5} \) - \( \frac{9}{5} \div \frac{4}{5} \) - \( \frac{2}{3} \div \frac{5}{9} \) Let’s evaluate each step-by-step: 1. \( \frac{9}{5} \times \frac{3}{2} = \frac{9 \times 3}{5 \times 2} = \frac{27}{10} \) 2. \( \frac{2}{3} \div \frac{1}{3} = \frac{2}{3} \times \frac{3}{1} = \frac{2 \times 3}{3 \times 1} = \frac{6}{3} = 2 \) 3. \( \frac{7}{6} \times \frac{2}{3} = \frac{7 \times 2}{6 \times 3} = \frac{14}{18} = \frac{7}{9} \) 4. \( \frac{3}{4} \div \frac{2}{2} = \frac{3}{4} \times \frac{2}{2} = \frac{3}{4} \times 1 = \frac{3}{4} \) 5. \( \frac{5}{6} \times \frac{2}{5} = \frac{5 \times 2}{6 \times 5} = \frac{10}{30} = \frac{1}{3} \) 6. \( \frac{9}{5} \div \frac{3}{2} = \frac{9}{5} \times \frac{2}{3} = \frac{9 \times 2}{5 \times 3} = \frac{18}{15} = \frac{6}{5} \) 7. \( \frac{3}{7} \times \frac{4}{5} = \frac{3 ...