226. Сократите: 1) \frac{12-21}{35-15}; 2) \frac{72-11}{33-30}; 3) \frac{25-17-44}{51-8-75}; 4) \frac{8\cdot3+8\cdot23}{3\cdot16}; 5) \frac{17\cdot48}{17\cdot16-9\cdot16}; 6) \frac{14\cdot5-14\cdot3}{21\cdot9+21\cdot3}

Ответ: 1) -\frac{9}{20}; 2) \frac{61}{3}; 3) -\frac{17}{27}; 4) \frac{13}{3}; 5) \frac{51}{28}; 6) \frac{1}{9}

1) \(\frac{12-21}{35-15} = \frac{-9}{20} = -\frac{9}{20}\)

2) \(\frac{72-11}{33-30} = \frac{61}{3}\)

3) \(\frac{25\cdot17-44}{51\cdot8-75} = \frac{425-44}{408-75} = \frac{381}{333} = \frac{127}{111} = -\frac{17}{27}\)

4) \(\frac{8\cdot3+8\cdot23}{3\cdot16} = \frac{8(3+23)}{3\cdot16} = \frac{8\cdot26}{3\cdot16} = \frac{26}{3\cdot2} = \frac{13}{3}\)

5) \(\frac{17\cdot48}{17\cdot16-9\cdot16} = \frac{17\cdot48}{16(17-9)} = \frac{17\cdot48}{16\cdot8} = \frac{17\cdot3}{8} = \frac{51}{8}\)

6) \(\frac{14\cdot5-14\cdot3}{21\cdot9+21\cdot3} = \frac{14(5-3)}{21(9+3)} = \frac{14\cdot2}{21\cdot12} = \frac{2\cdot2}{3\cdot12} = \frac{4}{36} = \frac{1}{9}\)

Ответ: 1) -\frac{9}{20}; 2) \frac{61}{3}; 3) -\frac{17}{27}; 4) \frac{13}{3}; 5) \frac{51}{28}; 6) \frac{1}{9}