Задание 1 Вычислите: 1)+; 7 3 4) 2)12-; 8 3) 11 5 16 8 ; 5) 6 3 35 10 +10 8 4 159 نو 7 6)+; 15 12

Ответ:

1) \(\frac{2}{3} + \frac{5}{8} = \frac{2 \cdot 8 + 5 \cdot 3}{3 \cdot 8} = \frac{16 + 15}{24} = \frac{31}{24} = 1\frac{7}{24}\)

2) \(\frac{7}{12} - \frac{3}{8} = \frac{7 \cdot 2 - 3 \cdot 3}{24} = \frac{14 - 9}{24} = \frac{5}{24}\)

3) \(\frac{11}{16} - \frac{5}{8} = \frac{11 - 5 \cdot 2}{16} = \frac{11 - 10}{16} = \frac{1}{16}\)

4) \(\frac{6}{35} + \frac{3}{10} = \frac{6 \cdot 2 + 3 \cdot 7}{70} = \frac{12 + 21}{70} = \frac{33}{70}\)

5) \(\frac{8}{15} - \frac{4}{9} = \frac{8 \cdot 3 - 4 \cdot 5}{45} = \frac{24 - 20}{45} = \frac{4}{45}\)

6) \(\frac{4}{15} + \frac{7}{12} = \frac{4 \cdot 4 + 7 \cdot 5}{60} = \frac{16 + 35}{60} = \frac{51}{60} = \frac{17}{20}\)

Ответ: 1) \(1\frac{7}{24}\); 2) \(\frac{5}{24}\); 3) \(\frac{1}{16}\); 4) \(\frac{33}{70}\); 5) \(\frac{4}{45}\); 6) \(\frac{17}{20}\)