Найдите значение выражения:
1) $3\frac{3}{4} : \frac{3}{8} : 1\frac{3}{7}$;
2) $3\frac{3}{4} : (\frac{3}{8} : 1\frac{3}{7})$;
3) $1\frac{7}{9} * \frac{15}{32} : 1\frac{19}{36}$;
4) $1\frac{7}{9} * (\frac{15}{32} : 1\frac{19}{36})$;
5) $3\frac{4}{7} : 1\frac{1}{7} * \frac{2}{3}$;
6) $3\frac{4}{7} : (1\frac{1}{7} * \frac{2}{3})$;
7) $(\frac{5}{12} + \frac{1}{8}) : \frac{3}{8}$;
8) $\frac{5}{12} + \frac{1}{8} : \frac{3}{8}$;
9) $2\frac{6}{7} : (\frac{5}{6} - \frac{9}{14})$;
10) $2\frac{6}{7} : \frac{5}{6} - \frac{9}{14}$;
11) $2\frac{1}{4} : 1\frac{4}{11} - \frac{3}{8} : \frac{7}{8}$;
12) $(3\frac{1}{6} - 5\frac{1}{6} : 4\frac{2}{15}) * \frac{3}{92}$.

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Решение

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Математика 6 класс Мерзляк. Номер №450

Решение 1

$3\frac{3}{4} : \frac{3}{8} : 1\frac{3}{7} = \frac{15}{4} * \frac{8}{3} * \frac{7}{10} = \frac{1}{1} * \frac{1}{1} * \frac{7}{1} = 7$

Решение 2

$3\frac{3}{4} : (\frac{3}{8} : 1\frac{3}{7}) = \frac{15}{4} : (\frac{3}{8} * \frac{7}{10}) = \frac{15}{4} : \frac{21}{80} = \frac{15}{4} * \frac{80}{21} = \frac{5}{1} * \frac{20}{7} = \frac{100}{7} = 14\frac{2}{7}$

Решение 3

$1\frac{7}{9} * \frac{15}{32} : 1\frac{19}{36} = \frac{16}{9} * \frac{15}{32} * \frac{36}{55} = \frac{1}{1} * \frac{1}{1} * \frac{6}{11} = \frac{6}{11}$

Решение 4

$1\frac{7}{9} * (\frac{15}{32} : 1\frac{19}{36}) = \frac{16}{9} * (\frac{15}{32} * \frac{36}{55}) = \frac{16}{9} * (\frac{3}{8} * \frac{9}{11}) = \frac{16}{9} * \frac{27}{88} = \frac{2}{1} * \frac{3}{11} = \frac{6}{11}$

Решение 5

$3\frac{4}{7} : 1\frac{1}{7} * \frac{2}{3} = \frac{25}{7} * \frac{7}{8} * \frac{2}{3} = \frac{25}{1} * \frac{1}{4} * \frac{1}{3} = \frac{25}{12} = 2\frac{1}{12}$

Решение 6

$3\frac{4}{7} : (1\frac{1}{7} * \frac{2}{3}) = \frac{25}{7} : (\frac{8}{7} * \frac{2}{3}) = \frac{25}{7} : \frac{16}{21} = \frac{25}{7} * \frac{21}{16} = \frac{25}{1} * \frac{3}{16} = \frac{75}{16} = 4\frac{11}{16}$

Решение 7

$(\frac{5}{12} + \frac{1}{8}) : \frac{3}{8} = (\frac{10}{24} + \frac{3}{24}) : \frac{3}{8} = \frac{13}{24} * \frac{8}{3} = \frac{13}{3} * \frac{1}{3} = \frac{13}{9} = 1\frac{4}{9}$

Решение 8

$\frac{5}{12} + \frac{1}{8} : \frac{3}{8} = \frac{5}{12} + \frac{1}{8} * \frac{8}{3} = \frac{5}{12} + \frac{1}{3} = \frac{5}{12} + \frac{4}{12} = \frac{9}{12} = \frac{3}{4}$

Решение 9

$2\frac{6}{7} : (\frac{5}{6} - \frac{9}{14}) = 2\frac{6}{7} : (\frac{35}{42} - \frac{27}{42}) = 2\frac{6}{7} : \frac{4}{21} = \frac{20}{7} * \frac{21}{4} = \frac{5}{1} * \frac{3}{1} = 15$

Решение 10

$2\frac{6}{7} : \frac{5}{6} - \frac{9}{14} = \frac{20}{7} * \frac{6}{5} - \frac{9}{14} = \frac{4}{7} * \frac{6}{1} - \frac{9}{14} = \frac{48}{14} - \frac{9}{14} = \frac{39}{14} = 2\frac{11}{14}$

Решение 11

$2\frac{1}{4} : 1\frac{4}{11} - \frac{3}{8} : \frac{7}{8} = \frac{9}{4} * \frac{11}{15} - \frac{3}{8} * \frac{8}{7} = \frac{3}{4} * \frac{11}{5} - \frac{3}{1} * \frac{1}{7} = \frac{33}{20} - \frac{3}{7} = \frac{231}{140} - \frac{60}{140} = \frac{171}{140} = 1\frac{31}{140}$

Решение 12

$(3\frac{1}{6} - 5\frac{1}{6} : 4\frac{2}{15}) * \frac{3}{92} = (3\frac{1}{6} - \frac{31}{6} * \frac{15}{62}) * \frac{3}{92} = (3\frac{1}{6} - \frac{1}{2} * \frac{5}{2}) * \frac{3}{92} = (3\frac{1}{6} - \frac{5}{4}) * \frac{3}{92} = (2\frac{28}{24} - 1\frac{6}{24}) * \frac{3}{92} = 1\frac{22}{24} * \frac{3}{92} = \frac{23}{12} * \frac{3}{92} = \frac{1}{4} * \frac{1}{4} = \frac{1}{16}$