ГДЗ Математика 5 класс Никольский. Задание 833

ОТВЕТЫ К ЗАДАНИЯМ

Вычислите:
а)

\frac{1}{10} + \frac{7}{100}

;

б)

\frac{21}{100} + \frac{1}{10}

;

в)

\frac{3}{5} + \frac{9}{10}

;

г)

\frac{2}{3} + \frac{5}{6}

;

д)

\frac{15}{24} + \frac{3}{8}

;

е)

\frac{7}{6} + \frac{16}{18}

;

ж)

\frac{1}{12} + \frac{1}{6}

;

з)

\frac{1}{2} + \frac{3}{10}

\frac{1}{10} + \frac{7}{100} = \frac{1 * 10}{10 * 10} + \frac{7}{100} = \frac{10 + 7}{100} = \frac{17}{100}

\frac{21}{100} + \frac{1}{10} = \frac{21}{100} + \frac{1 * 10}{10 * 10} = \frac{21 + 10}{100} = \frac{31}{100}

\frac{3}{5} + \frac{9}{10} = \frac{3 * 2}{5 * 2} + \frac{9}{10} = \frac{6 + 9}{10} = \frac{15}{10} = \frac{3 * 5}{2 * 5} = \frac{3}{2}

\frac{2}{3} + \frac{5}{6} = \frac{2 * 2}{3 * 2} + \frac{5}{6} = \frac{4 + 5}{6} = \frac{9}{6} = \frac{3 * 3}{2 * 3} = \frac{3}{2}

\frac{15}{24} + \frac{3}{8} = \frac{15}{24} + \frac{3 * 3}{8 * 3} = \frac{15 + 9}{24} = \frac{24}{24} = 1

\frac{7}{6} + \frac{16}{18} = \frac{7 * 3}{6 * 3} + \frac{16}{18} = \frac{7 * 3 + 16}{18} = \frac{21 + 16}{18} = \frac{37}{18}

\frac{1}{12} + \frac{1}{6} = \frac{1}{12} + \frac{1 * 2}{6 * 2} = \frac{1 + 2}{12} = \frac{3}{12} = \frac{1 * 3}{4 * 3} = \frac{1}{4}

\frac{1}{2} + \frac{3}{10} = \frac{1 * 5}{2 * 5} + \frac{3}{10} = \frac{5 + 3}{10} = \frac{8}{10} = \frac{4 * 2}{5 * 2} = \frac{4}{5}