4.17. Вычислите:

Здесь нужно вычислить примеры с дробями.

А) -\(\frac{2}{3}\) * \(\frac{3}{8}\) = -\(\frac{2*3}{3*8}\) = -\(\frac{6}{24}\) = -\(\frac{1}{4}\)

Б) \(\frac{4}{15}\) * \(\frac{5}{8}\) = \(\frac{4*5}{15*8}\) = \(\frac{20}{120}\) = \(\frac{1}{6}\)

В) -\(\frac{5}{9}\) * \(-\frac{12}{25}\) = \(\frac{5*12}{9*25}\) = \(\frac{60}{225}\) = \(\frac{4}{15}\)

Г) -3\(\frac{1}{2}\) * \(-\frac{4}{7}\) = -\(\frac{7}{2}\) * \(-\frac{4}{7}\) = \(\frac{7*4}{2*7}\) = \(\frac{28}{14}\) = 2

Д) 1\(\frac{1}{8}\) * \(-5\frac{1}{3}\) = \(\frac{9}{8}\) * \(-\frac{16}{3}\) = -\(\frac{9*16}{8*3}\) = -\(\frac{144}{24}\) = -6

Е) -3\(\frac{3}{5}\) * 6\(\frac{1}{4}\) = -\(\frac{18}{5}\) * \(\frac{25}{4}\) = -\(\frac{18*25}{5*4}\) = -\(\frac{450}{20}\) = -\(\frac{45}{2}\) = -22.5

Ё) -3\(\frac{1}{5}\) * 1.2 = -\(\frac{16}{5}\) * \(\frac{12}{10}\) = -\(\frac{16*12}{5*10}\) = -\(\frac{192}{50}\) = -\(\frac{96}{25}\) = -3.84

Ж) 1.8 * \(-1\frac{1}{3}\) = \(\frac{18}{10}\) * \(-\frac{4}{3}\) = -\(\frac{18*4}{10*3}\) = -\(\frac{72}{30}\) = -\(\frac{12}{5}\) = -2.4

З) -2\(\frac{2}{15}\) * (-6.25) = -\(\frac{32}{15}\) * \(-\frac{625}{100}\) = \(\frac{32*625}{15*100}\) = \(\frac{20000}{1500}\) = \(\frac{40}{3}\) = 13\(\frac{1}{3}\)

И) -3.6 * (-0.25) = \(\frac{-36}{10}\) * \(\frac{-25}{100}\) = \(\frac{36*25}{10*100}\) = \(\frac{900}{1000}\) = \(\frac{9}{10}\) = 0.9

Й) -\(\frac{1}{7}\) * 14.56 = -\(\frac{1}{7}\) * \(\frac{1456}{100}\) = -\(\frac{1456}{700}\) = -2.08

К) 0.75 * (-480) = \(\frac{75}{100}\) * (-480) = -\(\frac{75*480}{100}\) = -360

Л) -2\(\frac{4}{13}\) * (-2.6) = -\(\frac{30}{13}\) * \(-\frac{26}{10}\) = \(\frac{30*26}{13*10}\) = \(\frac{780}{130}\) = 6

М) 4.32 * (-12.5) = \(\frac{432}{100}\) * \(-\frac{125}{10}\) = -\(\frac{432*125}{100*10}\) = -\(\frac{54000}{1000}\) = -54

Н) \(-\frac{5}{9}\) * (-18.18) = \(\frac{5}{9}\) * \(\frac{1818}{100}\) = \(\frac{5*1818}{9*100}\) = \(\frac{9090}{900}\) = 10.1

О) -2.106 * 1050 = -\(\frac{2106}{1000}\) * 1050 = -\(\frac{2106 * 1050}{1000}\) = -2211.3