Выполните сложение:
а) $2\frac{3}{4} + 1\frac{2}{3}$;
б) $8\frac{3}{5} + 1\frac{9}{10}$;
в) $\frac{7}{20} + 8\frac{3}{4}$;
г) $12\frac{5}{6} + \frac{4}{15}$;
д) $8\frac{5}{6} + 2\frac{3}{8}$;
е) $1\frac{4}{5} + 3\frac{11}{30}$.
$2\frac{3}{4} + 1\frac{2}{3} = (2 + 1) + (\frac{3}{4} + \frac{2}{3}) = 3 + \frac{9 + 8}{12} = 3 + \frac{17}{12} = 3 + 1\frac{5}{12} = (3 + 1) + \frac{5}{12} = 4 + \frac{5}{12} = 4\frac{5}{12}$
$8\frac{3}{5} + 1\frac{9}{10} = (8 + 1) + (\frac{3}{5} + \frac{9}{10}) = 9 + \frac{6 + 9}{10} = 9 + \frac{15}{10} = 9 + 1\frac{5}{10} = (9 + 1) + \frac{1}{2} = 10\frac{1}{2}$
$\frac{7}{20} + 8\frac{3}{4} = 8 + (\frac{7}{20} + \frac{3}{4}) = 8 + \frac{7 + 15}{20} = 8 + \frac{22}{20} = 8 + 1\frac{2}{20} = (8 + 1) + \frac{1}{10} = 9 + \frac{1}{10} = 9\frac{1}{10}$
$12\frac{5}{6} + \frac{4}{15} = 12 + (\frac{5}{6} + \frac{4}{15}) = 12 + \frac{25 + 8}{30} = 12 + \frac{33}{30} = 12 + 1\frac{3}{30} = (12 + 1) + \frac{1}{10} = 13 + \frac{1}{10} = 13\frac{1}{10}$
$8\frac{5}{6} + 2\frac{3}{8} = (8 + 2) + (\frac{5}{6} + \frac{3}{8}) = 10 + \frac{20 + 9}{24} = 10 + \frac{29}{24} = 10 + 1\frac{5}{24} = (10 + 1) + \frac{5}{24} = 11 + \frac{5}{24} = 11\frac{5}{24}$
$1\frac{4}{5} + 3\frac{11}{30} = (1 + 3) + \frac{24 + 11}{30} = 4 + \frac{35}{30} = 4 + 1\frac{5}{30} = (4 + 1) + \frac{1}{6} = 5 + \frac{1}{6} = 5\frac{1}{6}$
Пожауйста, оцените решение