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Fraction Operations

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Fraction Operations


### Subtracting Unlike Fractions 1. $\frac{5}{7} - \frac{2}{3} = \frac{15}{21} - \frac{14}{21} = \frac{1}{21}$ 2. $\frac{2}{3} - \frac{3}{8} = \frac{16}{24} - \frac{9}{24} = \frac{7}{24}$ 3. $\frac{6}{7} - \frac{2}{6} = \frac{36}{42} - \frac{14}{42} = \frac{22}{42} = \frac{11}{21}$ 4. $\frac{4}{6} - \frac{4}{8} = \frac{32}{48} - \frac{24}{48} = \frac{8}{48} = \frac{1}{6}$ 5. $\frac{4}{5} - \frac{2}{3} = \frac{12}{15} - \frac{10}{15} = \frac{2}{15}$ 6. $\frac{2}{3} - \frac{1}{6} = \frac{4}{6} - \frac{1}{6} = \frac{3}{6} = \frac{1}{2}$ 7. $\frac{8}{12} - \frac{1}{5} = \frac{40}{60} - \frac{12}{60} = \frac{28}{60} = \frac{7}{15}$ 8. $\frac{6}{10} - \frac{4}{8} = \frac{24}{40} - \frac{20}{40} = \frac{4}{40} = \frac{1}{10}$ 9. $\frac{7}{11} - \frac{1}{3} = \frac{21}{33} - \frac{11}{33} = \frac{10}{33}$ 10. $\frac{2}{8} - \frac{1}{6} = \frac{3}{12} - \frac{2}{12} = \frac{1}{12}$ 11. $\frac{6}{9} - \frac{2}{5} = \frac{30}{45} - \frac{18}{45} = \frac{12}{45} = \frac{4}{15}$ 12. $\frac{5}{6} - \frac{2}{6} = \frac{3}{6} = \frac{1}{2}$ --- ### Dividing Fractions 1. $\frac{3}{5} \div \frac{2}{3} = \frac{3}{5} \times \frac{3}{2} = \frac{9}{10}$ 2. $\frac{2}{6} \div \frac{1}{5} = \frac{2}{6} \times \frac{5}{1} = \frac{10}{6} = \frac{5}{3}$ 3. $\frac{2}{6} \div \frac{3}{5} = \frac{2}{6} \times \frac{5}{3} = \frac{10}{18} = \frac{5}{9}$ 4. $\frac{4}{8} \div \frac{1}{4} = \frac{4}{8} \times \frac{4}{1} = \frac{16}{8} = 2$ 5. $\frac{1}{4} \div \frac{1}{5} = \frac{1}{4} \times \frac{5}{1} = \frac{5}{4}$ 6. $\frac{2}{4} \div \frac{1}{4} = \frac{2}{4} \times \frac{4}{1} = \frac{8}{4} = 2$ 7. $\frac{1}{5} \div \frac{5}{6} = \frac{1}{5} \times \frac{6}{5} = \frac{6}{25}$ 8. $\frac{2}{6} \div \frac{1}{8} = \frac{2}{6} \times \frac{8}{1} = \frac{16}{6} = \frac{8}{3}$ 9. $\frac{1}{3} \div \frac{3}{6} = \frac{1}{3} \times \frac{6}{3} = \frac{6}{9} = \frac{2}{3}$ 10. $\frac{3}{4} \div \frac{4}{5} = \frac{3}{4} \times \frac{5}{4} = \frac{15}{16}$ 11. $\frac{4}{6} \div \frac{2}{6} = \frac{4}{6} \times \frac{6}{2} = \frac{24}{12} = 2$ 12. $\frac{1}{3} \div \frac{1}{4} = \frac{1}{3} \times \frac{4}{1} = \frac{4}{3}$ 13. $\frac{1}{4} \div \frac{4}{5} = \frac{1}{4} \times \frac{5}{4} = \frac{5}{16}$ 14. $\frac{3}{8} \div \frac{2}{3} = \frac{3}{8} \times \frac{3}{2} = \frac{9}{16}$ 15. $\frac{1}{6} \div \frac{2}{3} = \frac{1}{6} \times \frac{3}{2} = \frac{3}{12} = \frac{1}{4}$ 16. $\frac{1}{3} \div \frac{4}{6} = \frac{1}{3} \times \frac{6}{4} = \frac{6}{12} = \frac{1}{2}$ 17. $\frac{3}{5} \div \frac{1}{4} = \frac{3}{5} \times \frac{4}{1} = \frac{12}{5}$ 18. $\frac{2}{4} \div \frac{7}{8} = \frac{2}{4} \times \frac{8}{7} = \frac{16}{28} = \frac{4}{7}$