Вопрос:

Вычислите: а) \(\frac{7}{9}+\frac{1}{3}\); б) \(\frac{2}{5}+\frac{7}{15}\); в) \(\frac{6}{11}+\frac{1}{2}\); г) \(\frac{3}{10}+\frac{13}{30}\).

Ответ:

  1. \(\frac{7}{9}+\frac{1}{3}=\frac{7}{9}+\frac{3}{9}=\frac{10}{9}=1\frac{1}{9}\).

  2. \(\frac{2}{5}+\frac{7}{15}=\frac{6}{15}+\frac{7}{15}=\frac{13}{15}\).

  3. \(\frac{6}{11}+\frac{1}{2}=\frac{12}{22}+\frac{11}{22}=\frac{23}{22}=1\frac{1}{22}\).

  4. \(\frac{3}{10}+\frac{13}{30}=\frac{9}{30}+\frac{13}{30}=\frac{22}{30}=\frac{11}{15}\).

Ответ: а) \(1\frac{1}{9}\); б) \(\frac{13}{15}\); в) \(1\frac{1}{22}\); г) \(\frac{11}{15}\).