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

Question

Вопрос:

Фото задания: 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) (1 11/16 − 3…

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

Accepted Answer

\(\left(\frac{9}{16}+2\frac{3}{8}\right)\cdot4=\left(\frac{9}{16}+\frac{19}{8}\right)\cdot4=\frac{47}{16}\cdot4=\frac{47}{4}=11\frac{3}{4}\).
\(\left(\frac{4}{9}-3\frac{1}{15}\right)\cdot9=\left(\frac{4}{9}-\frac{46}{15}\right)\cdot9=-\frac{118}{45}\cdot9=-\frac{118}{5}=-23\frac{3}{5}\).
\(\left(2\frac{3}{4}+2\frac{1}{5}\right)\cdot16=\left(\frac{11}{4}+\frac{11}{5}\right)\cdot16=\frac{99}{20}\cdot16=\frac{396}{5}=79\frac{1}{5}\).
\(\left(1\frac{11}{16}-3\frac{7}{8}\right)\cdot4=\left(\frac{27}{16}-\frac{62}{16}\right)\cdot4=-\frac{35}{16}\cdot4=-\frac{35}{4}\).
\(\left(1\frac{3}{4}+2\frac{4}{5}\right)\cdot30=\left(\frac{7}{4}+\frac{14}{5}\right)\cdot30=\frac{91}{20}\cdot30=\frac{273}{2}=136\frac{1}{2}\).
\(\left(\frac{1}{13}-2\frac{3}{4}\right)\cdot26=\left(\frac{1}{13}-\frac{11}{4}\right)\cdot26=-\frac{139}{52}\cdot26=-\frac{139}{2}\).
\(1\frac{8}{17}:\left(\frac{12}{17}+2\frac{7}{11}\right)=\frac{25}{17}:\frac{625}{187}=\frac{11}{25}\).
\(3\frac{4}{9}:\left(1\frac{5}{9}-\frac{4}{7}\right)=\frac{31}{9}:\frac{181}{63}=\frac{217}{181}\).
\(4\frac{7}{8}:\left(2\frac{3}{4}+1\frac{10}{19}\right)=\frac{39}{8}:\frac{325}{76}=\frac{741}{650}\).
\(1\frac{1}{12}:\left(1\frac{13}{18}-2\frac{5}{9}\right)=\frac{13}{12}:-\frac{7}{6}=-\frac{13}{14}\).
\(3\frac{1}{2}:\left(1\frac{4}{15}+2\frac{9}{10}\right)=\frac{7}{2}:\frac{25}{6}=\frac{21}{25}\).
\(4\frac{1}{4}:\left(2\frac{7}{10}-3\frac{1}{8}\right)=\frac{17}{4}:-\frac{17}{40}=-10\).

Ответ: 1) \(11\frac{3}{4}\); 2) \(-23\frac{3}{5}\); 3) \(79\frac{1}{5}\); 4) \(-\frac{35}{4}\); 5) \(136\frac{1}{2}\); 6) \(-\frac{139}{2}\); 7) \(\frac{11}{25}\); 8) \(\frac{217}{181}\); 9) \(\frac{741}{650}\); 10) \(-\frac{13}{14}\); 11) \(\frac{21}{25}\); 12) \(-10\).