Задание 3. Найдите значение выражения: 1) (2 3/17 + 1/34) · 17; 2) (1 1/4 − 3/19) · 19; 3) 4 3/8 : (3/8 + 1 4/13); 4) 5 2/5 : (3 1/4 − 2 4/5).

1. \(\left(2\frac{3}{17}+\frac{1}{34}\right)\cdot17=\left(\frac{37}{17}+\frac{1}{34}\right)\cdot17=\frac{75}{34}\cdot17=\frac{75}{2}=37\frac{1}{2}\).

2. \(\left(1\frac{1}{4}-\frac{3}{19}\right)\cdot19=\left(\frac{5}{4}-\frac{3}{19}\right)\cdot19=\frac{83}{76}\cdot19=\frac{83}{4}=20\frac{3}{4}\).

3. \(4\frac{3}{8}:\left(\frac{3}{8}+1\frac{4}{13}\right)=\frac{35}{8}:\left(\frac{3}{8}+\frac{17}{13}\right)=\frac{35}{8}:\frac{175}{104}=\frac{35}{8}\cdot\frac{104}{175}=\frac{13}{5}=2\frac{3}{5}\).

4. \(5\frac{2}{5}:\left(3\frac{1}{4}-2\frac{4}{5}\right)=\frac{27}{5}:\left(\frac{13}{4}-\frac{14}{5}\right)=\frac{27}{5}:\frac{9}{20}=\frac{27}{5}\cdot\frac{20}{9}=12\).

Ответ: 1) \(37\frac{1}{2}\); 2) \(20\frac{3}{4}\); 3) \(2\frac{3}{5}\); 4) \(12\).