Вычислите: 1) $\frac{5}{6}:\frac{4}{15}$; 2) $\left(\frac{2}{3}-\frac{5}{6}\right)\cdot\frac{3}{8}$; 3) $\frac{7}{8}+\frac{3}{32}$; 4) $\frac{9}{11}:\left(\frac{4}{16}+\frac{1}{18}\right)$; 5) $\frac{1}{5}+\frac{3}{25}$; 6) $\frac{1}{7}+\frac{4}{20}$; 7) $\frac{1}{13}-\frac{5}{12}$; 8) $\frac{5}{14}+\frac{8}{15}$; 9) $\frac{3}{21}+\frac{1}{12}$.

Question

Вычислите: 1) $\frac{5}{6}:\frac{4}{15}$; 2) $\left(\frac{2}{3}-\frac{5}{6}\right)\cdot\frac{3}{8}$; 3) $\frac{7}{8}+\frac{3}{32}$; 4) $\frac{9}{11}:\left(\frac{4}{16}+\frac{1}{18}\right)$; 5) $\frac{1}{5}+\frac{3}{25}$; 6) $\frac{1}{7}+\frac{4}{20}$; 7) $\frac{1}{13}-\frac{5}{12}$; 8) $\frac{5}{14}+\frac{8}{15}$; 9) $\frac{3}{21}+\frac{1}{12}$.

$Фото задания: Вычислите: 1) $\frac{5}{6}:\frac{4}{15}$; 2) $\left(\frac{2}{3}-\frac{5}{6}\right)\cdot\frac{3}{8}$; 3)…$ Фото задания

Accepted Answer

\[\frac{5}{6}:\frac{4}{15}=\frac{5}{6}\cdot\frac{15}{4}=\frac{25}{8}.\]
\[\left(\frac{2}{3}-\frac{5}{6}\right)\cdot\frac{3}{8}=\left(\frac{4}{6}-\frac{5}{6}\right)\cdot\frac{3}{8}=-\frac{1}{6}\cdot\frac{3}{8}=-\frac{1}{16}.\]
\[\frac{7}{8}+\frac{3}{32}=\frac{28}{32}+\frac{3}{32}=\frac{31}{32}.\]
\[\frac{9}{11}:\left(\frac{4}{16}+\frac{1}{18}\right)=\frac{9}{11}:\left(\frac{1}{4}+\frac{1}{18}\right)=\frac{9}{11}:\frac{11}{36}=\frac{9}{11}\cdot\frac{36}{11}=\frac{324}{121}.\]
\[\frac{1}{5}+\frac{3}{25}=\frac{5}{25}+\frac{3}{25}=\frac{8}{25}.\]
\[\frac{1}{7}+\frac{4}{20}=\frac{1}{7}+\frac{1}{5}=\frac{5+7}{35}=\frac{12}{35}.\]
\[\frac{1}{13}-\frac{5}{12}=\frac{12}{156}-\frac{65}{156}=-\frac{53}{156}.\]
\[\frac{5}{14}+\frac{8}{15}=\frac{75}{210}+\frac{112}{210}=\frac{187}{210}.\]
\[\frac{3}{21}+\frac{1}{12}=\frac{1}{7}+\frac{1}{12}=\frac{12+7}{84}=\frac{19}{84}.\]

Ответ: 1) $\frac{25}{8}$; 2) $-\frac{1}{16}$; 3) $\frac{31}{32}$; 4) $\frac{324}{121}$; 5) $\frac{8}{25}$; 6) $\frac{12}{35}$; 7) $-\frac{53}{156}$; 8) $\frac{187}{210}$; 9) $\frac{19}{84}$.