Вопрос:

Вычислите: 1) 7,8 · 4/13 − 61,5 : 13 2/3 + 198,8; 2) 19,25 · 5/11 + 5,76 · 5/12 − 13,009; 3) 4,625 · 2 2/15 : 2,96 − 2 4/7; 4) 30,25 : 4 5/7 · 1,05 − 2 1/6.

Ответ:

  1. \(7.8\cdot\frac{4}{13}-61.5:\left(13\frac{2}{3}\right)+198.8=2.4-4.5+198.8=196.7\).
  2. \(19.25\cdot\frac{5}{11}+5.76\cdot\frac{5}{12}-13.009=8.75+2.4-13.009=-1.859\).
  3. \(4.625\cdot2\frac{2}{15}:2.96-2\frac{4}{7}=\frac{37}{8}\cdot\frac{32}{15}\cdot\frac{25}{74}-\frac{18}{7}=\frac{10}{3}-\frac{18}{7}=\frac{16}{21}\).
  4. \(30.25:4\frac{5}{7}\cdot1.05-2\frac{1}{6}=\frac{121}{4}:\frac{33}{7}\cdot\frac{21}{20}-\frac{13}{6}=\frac{77}{4}\cdot\frac{21}{20}-\frac{13}{6}=\frac{1617}{80}-\frac{13}{6}=\frac{3943}{240}=16\frac{103}{240}\).

Ответ: 1) 196,7; 2) −1,859; 3) \(\frac{16}{21}\); 4) \(16\frac{103}{240}\).