[tex] \frac{12}{5} \div \frac{15}{2} = \frac{12}{5} \times \frac{2}{15} = \frac{8}{25} = 0.32[/tex]
[tex] \frac{6}{5} \div \frac{4}{11} = \frac{6}{5} \times \frac{11}{4} = \frac{33}{10} = 3.3[/tex]
[tex] \frac{3}{5} \div \frac{4}{35} = \frac{3}{5} \times \frac{35}{4} = \frac{21}{4} = 5.25[/tex]
[tex] \frac{15}{4} \div \frac{3}{7} = \frac{15}{4} \times \frac{7}{3} = \frac{35}{4} = 8.75[/tex]
[tex] \frac{21}{2} \div \frac{3}{5} = \frac{21}{2} \times \frac{5}{3} = \frac{35}{2} = 17.5[/tex]
[tex]( \frac{17}{10} - \frac{1}{20} ) \times \frac{2}{15} = ( \frac{34}{20} - \frac{1}{20} ) \times \frac{2}{15} = \frac{33}{20} \times \frac{2}{15} = \frac{33}{150} = \frac{11}{50} = 0.22[/tex]
[tex]( \frac{5}{26} - \frac{3}{25} ) \times \frac{13}{2} = \frac{5}{26} \times \frac{13}{2} - \frac{3}{25} \times \frac{13}{2} = \frac{5}{4} - \frac{39}{50} = \frac{125}{100} - \frac{78}{100} = \frac{47}{100}=0.47 [/tex]
[tex]( \frac{10}{13} + \frac{15}{4} ) \times \frac{26}{5} = \frac{10}{13} \times \frac{26}{5} + \frac{15}{4} \times \frac{26}{5} = 4 + \frac{39}{2} = 23.5[/tex]
[tex]( \frac{17}{26} + \frac{11}{13} ) \times \frac{17}{6} = ( \frac{17}{26} + \frac{22}{26}) \times \frac{17}{6} = \frac{39}{26} \times \frac{17}{6} = \frac{17}{4} = 4.25[/tex]
[tex]( \frac{3}{4} - \frac{1}{6} ) \times 3 = ( \frac{9}{12} - \frac{2}{12} ) \times 3 = \frac{7}{12} \times 3 = \frac{7}{4} = 1.75[/tex]
[tex]( \frac{2}{5} + \frac{13}{15} ) \times 6 = (\frac{6}{15} + \frac{13}{15} ) \times 6 = \frac{19}{15} \times 6 = \frac{38}{5} = 7.6[/tex]
[tex]( \frac{3}{8} - \frac{1}{20} ) \times 10 = ( \frac{15}{40} - \frac{2}{40} ) \times 10 = \frac{13}{40} \times 10 = \frac{13}{4} = 3.25[/tex]
[tex]( \frac{2}{20} + \frac{7}{30} ) \times 15 = ( \frac{6}{60} + \frac{14}{60} ) \times 15 = \frac{20}{60} \times 15 = 5[/tex]
[tex]( \frac{9}{10} - \frac{7}{15} ) \times 3 = ( \frac{27}{30} - \frac{14}{30} ) \times 3 = \frac{13}{30} \times 3 = \frac{13}{10} = 1.3[/tex]
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Answers & Comments
[tex] \frac{12}{5} \div \frac{15}{2} = \frac{12}{5} \times \frac{2}{15} = \frac{8}{25} = 0.32[/tex]
[tex] \frac{6}{5} \div \frac{4}{11} = \frac{6}{5} \times \frac{11}{4} = \frac{33}{10} = 3.3[/tex]
[tex] \frac{3}{5} \div \frac{4}{35} = \frac{3}{5} \times \frac{35}{4} = \frac{21}{4} = 5.25[/tex]
[tex] \frac{15}{4} \div \frac{3}{7} = \frac{15}{4} \times \frac{7}{3} = \frac{35}{4} = 8.75[/tex]
[tex] \frac{21}{2} \div \frac{3}{5} = \frac{21}{2} \times \frac{5}{3} = \frac{35}{2} = 17.5[/tex]
[tex]( \frac{17}{10} - \frac{1}{20} ) \times \frac{2}{15} = ( \frac{34}{20} - \frac{1}{20} ) \times \frac{2}{15} = \frac{33}{20} \times \frac{2}{15} = \frac{33}{150} = \frac{11}{50} = 0.22[/tex]
[tex]( \frac{5}{26} - \frac{3}{25} ) \times \frac{13}{2} = \frac{5}{26} \times \frac{13}{2} - \frac{3}{25} \times \frac{13}{2} = \frac{5}{4} - \frac{39}{50} = \frac{125}{100} - \frac{78}{100} = \frac{47}{100}=0.47 [/tex]
[tex]( \frac{10}{13} + \frac{15}{4} ) \times \frac{26}{5} = \frac{10}{13} \times \frac{26}{5} + \frac{15}{4} \times \frac{26}{5} = 4 + \frac{39}{2} = 23.5[/tex]
[tex]( \frac{17}{26} + \frac{11}{13} ) \times \frac{17}{6} = ( \frac{17}{26} + \frac{22}{26}) \times \frac{17}{6} = \frac{39}{26} \times \frac{17}{6} = \frac{17}{4} = 4.25[/tex]
[tex]( \frac{3}{4} - \frac{1}{6} ) \times 3 = ( \frac{9}{12} - \frac{2}{12} ) \times 3 = \frac{7}{12} \times 3 = \frac{7}{4} = 1.75[/tex]
[tex]( \frac{2}{5} + \frac{13}{15} ) \times 6 = (\frac{6}{15} + \frac{13}{15} ) \times 6 = \frac{19}{15} \times 6 = \frac{38}{5} = 7.6[/tex]
[tex]( \frac{3}{8} - \frac{1}{20} ) \times 10 = ( \frac{15}{40} - \frac{2}{40} ) \times 10 = \frac{13}{40} \times 10 = \frac{13}{4} = 3.25[/tex]
[tex]( \frac{2}{20} + \frac{7}{30} ) \times 15 = ( \frac{6}{60} + \frac{14}{60} ) \times 15 = \frac{20}{60} \times 15 = 5[/tex]
[tex]( \frac{9}{10} - \frac{7}{15} ) \times 3 = ( \frac{27}{30} - \frac{14}{30} ) \times 3 = \frac{13}{30} \times 3 = \frac{13}{10} = 1.3[/tex]