270. Вычислите: 1) $\frac{1}{4} + \frac{3}{5}$ 2) $\frac{9}{11} - \frac{2}{5}$ 3) $\frac{13}{16} - \frac{9}{32}$ 4) $\frac{3}{28} + \frac{5}{14}$ 5) $\frac{14}{15} - \frac{7}{10}$ 6) $\frac{3}{8} + \frac{1}{6}$ 7) $\frac{9}{25} - \frac{7}{20}$ 8) $\frac{37}{42} - \frac{17}{24}$ 9) $\frac{11}{24} - \frac{3}{16}$

Question

Вопрос: $Фото задания: 270. Вычислите: 1) $\frac{1}{4} + \frac{3}{5}$ 2) $\frac{9}{11} - \frac{2}{5}$ 3) $\frac{13}{16} - \frac{9}{32}$ 4)…$ Фото задания

270. Вычислите: 1) $\frac{1}{4} + \frac{3}{5}$ 2) $\frac{9}{11} - \frac{2}{5}$ 3) $\frac{13}{16} - \frac{9}{32}$ 4) $\frac{3}{28} + \frac{5}{14}$ 5) $\frac{14}{15} - \frac{7}{10}$ 6) $\frac{3}{8} + \frac{1}{6}$ 7) $\frac{9}{25} - \frac{7}{20}$ 8) $\frac{37}{42} - \frac{17}{24}$ 9) $\frac{11}{24} - \frac{3}{16}$

Accepted Answer

Решение:

1) $ \frac{1}{4} + \frac{3}{5} = \frac{1 \times 5 + 3 \times 4}{20} = \frac{5 + 12}{20} = \frac{17}{20} $
2) $ \frac{9}{11} - \frac{2}{5} = \frac{9 \times 5 - 2 \times 11}{55} = \frac{45 - 22}{55} = \frac{23}{55} $
3) $ \frac{13}{16} - \frac{9}{32} = \frac{13 \times 2 - 9}{32} = \frac{26 - 9}{32} = \frac{17}{32} $
4) $ \frac{3}{28} + \frac{5}{14} = \frac{3 + 5 \times 2}{28} = \frac{3 + 10}{28} = \frac{13}{28} $
5) $ \frac{14}{15} - \frac{7}{10} = \frac{14 \times 2 - 7 \times 3}{30} = \frac{28 - 21}{30} = \frac{7}{30} $
6) $ \frac{3}{8} + \frac{1}{6} = \frac{3 \times 3 + 1 \times 4}{24} = \frac{9 + 4}{24} = \frac{13}{24} $
7) $ \frac{9}{25} - \frac{7}{20} = \frac{9 \times 4 - 7 \times 5}{100} = \frac{36 - 35}{100} = \frac{1}{100} $
8) $ \frac{37}{42} - \frac{17}{24} = \frac{37 \times 2 - 17 \times 7}{84} = \frac{74 - 119}{84} = \frac{-45}{84} = \frac{-15}{28} $
9) $ \frac{11}{24} - \frac{3}{16} = \frac{11 \times 2 - 3 \times 3}{48} = \frac{22 - 9}{48} = \frac{13}{48} $

Ответ:

Решение: