Вопрос:

Вычислите: a) \(\frac{1}{2} + \frac{1}{3}\) б) \(\frac{1}{3} + \frac{2}{7}\) в) \(\frac{2}{5} + \frac{1}{3}\) г) \(\frac{3}{7} + \frac{4}{9}\) д) \(\frac{5}{9} - \frac{1}{6}\) e) \(\frac{3}{4} - \frac{1}{3}\) ж) \(\frac{1}{6} + \frac{1}{3}\) з) \(\frac{9}{5} - \(\frac{7}{10}\) и) \(\frac{1}{2} - \(\frac{3}{8}\) к) \(\frac{7}{15} - \(\frac{3}{10}\) л) \(\frac{3}{8} + \(\frac{5}{12}\) м) \(\frac{5}{9} - \(\frac{1}{6}\) н) \(\frac{5}{11} + \(\frac{3}{5}\) о) \(\frac{17}{30} - \(\frac{3}{6}\) п) \(\frac{17}{35} - \(\frac{4}{15}\)

Ответ:

a) \(\frac{1}{2} + \frac{1}{3} = \frac{3}{6} + \frac{2}{6} = \frac{5}{6}\) б) \(\frac{1}{3} + \frac{2}{7} = \frac{7}{21} + \frac{6}{21} = \frac{13}{21}\) в) \(\frac{2}{5} + \frac{1}{3} = \frac{6}{15} + \frac{5}{15} = \frac{11}{15}\) г) \(\frac{3}{7} + \frac{4}{9} = \frac{27}{63} + \frac{28}{63} = \frac{55}{63}\) д) \(\frac{5}{9} - \frac{1}{6} = \frac{10}{18} - \frac{3}{18} = \frac{7}{18}\) e) \(\frac{3}{4} - \frac{1}{3} = \frac{9}{12} - \frac{4}{12} = \frac{5}{12}\) ж) \(\frac{1}{6} + \frac{1}{3} = \frac{1}{6} + \frac{2}{6} = \frac{3}{6} = \frac{1}{2}\) з) \(\frac{9}{5} - \(\frac{7}{10} = \frac{18}{10} - \frac{7}{10} = \frac{11}{10}\) и) \(\frac{1}{2} - \(\frac{3}{8} = \frac{4}{8} - \frac{3}{8} = \frac{1}{8}\) к) \(\frac{7}{15} - \(\frac{3}{10} = \frac{14}{30} - \frac{9}{30} = \frac{5}{30} = \frac{1}{6}\) л) \(\frac{3}{8} + \(\frac{5}{12} = \frac{9}{24} + \frac{10}{24} = \frac{19}{24}\) м) \(\frac{5}{9} - \(\frac{1}{6} = \frac{10}{18} - \frac{3}{18} = \frac{7}{18}\) н) \(\frac{5}{11} + \(\frac{3}{5} = \frac{25}{55} + \frac{33}{55} = \frac{58}{55}\) о) \(\frac{17}{30} - \(\frac{3}{6} = \frac{17}{30} - \frac{15}{30} = \frac{2}{30} = \frac{1}{15}\) п) \(\frac{17}{35} - \(\frac{4}{15} = \frac{51}{105} - \frac{28}{105} = \frac{23}{105}\)
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