Задание 3. Найдите значение выражения. 1) (9/16 + 2 3/8) : 4; 2) (4/9 − 3 1/15) · 9; 3) (2 3/4 + 2 1/5) · 16; 4) (11/16 − 3/8) : 4; 5) (3/4 + 2 4/5) · 30; 6) (1/13 − 2 3/4) · 26; 7) 1 8/17 : (12/17 + 7/11); 8) 3 4/9 : (5/9 − 4/7); 9) 4 7/8 : (2 3/4 + 1 10/19); 10) 1 1/12 : (1/18 − 2 5/9); 11) 3 1/2 : (1/4 + 2 9/10); 12) 4 1/4 : (2 7/10 − 3 1/8).

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Accepted Answer

\(\left(\frac{9}{16}+2\frac{3}{8}\right):4=\left(\frac{9}{16}+\frac{19}{8}\right):4=\frac{47}{16}:4=\frac{47}{64}\).
\(\left(\frac{4}{9}-3\frac{1}{15}\right)\cdot9=\left(\frac{4}{9}-\frac{46}{15}\right)\cdot9=-\frac{394}{45}\cdot9=-\frac{394}{5}\).
\(\left(2\frac{3}{4}+2\frac{1}{5}\right)\cdot16=\left(\frac{11}{4}+\frac{11}{5}\right)\cdot16=\frac{99}{20}\cdot16=\frac{396}{5}\).
\(\left(\frac{11}{16}-\frac{3}{8}\right):4=\frac{5}{16}:4=\frac{5}{64}\).
\(\left(\frac{3}{4}+2\frac{4}{5}\right)\cdot30=\left(\frac{3}{4}+\frac{14}{5}\right)\cdot30=\frac{71}{20}\cdot30=\frac{213}{2}\).
\(\left(\frac{1}{13}-2\frac{3}{4}\right)\cdot26=\left(\frac{1}{13}-\frac{11}{4}\right)\cdot26=-\frac{139}{52}\cdot26=-\frac{139}{2}\).
\(1\frac{8}{17}:\left(\frac{12}{17}+\frac{7}{11}\right)=\frac{25}{17}:\frac{251}{187}=\frac{25}{17}\cdot\frac{187}{251}=\frac{275}{251}\).
\(3\frac{4}{9}:\left(\frac{5}{9}-\frac{4}{7}\right)=\frac{31}{9}:\left(-\frac{1}{63}\right)=-217\).
\(4\frac{7}{8}:\left(2\frac{3}{4}+1\frac{10}{19}\right)=\frac{39}{8}:\frac{325}{76}=\frac{39}{8}\cdot\frac{76}{325}=\frac{57}{50}\).
\(1\frac{1}{12}:\left(\frac{1}{18}-2\frac{5}{9}\right)=\frac{13}{12}:\left(-\frac{5}{2}\right)=-\frac{13}{30}\).
\(3\frac{1}{2}:\left(\frac{1}{4}+2\frac{9}{10}\right)=\frac{7}{2}:\frac{63}{20}=\frac{10}{9}\).
\(4\frac{1}{4}:\left(2\frac{7}{10}-3\frac{1}{8}\right)=\frac{17}{4}:\left(-\frac{17}{40}\right)=-10\).

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