Вопрос:
Вычислите: 1) 5 2/3 · 6; 2) 35 2/5 : 5; 3) 18 1/4 · 1/9; 4) 16 1/8 · 1/4; 5) 15/8 : 5/4; 6) 12/11 : 3/4; 7) 8 : 1 7/9.
Ответ:
- \(5\frac{2}{3}\cdot6=\frac{17}{3}\cdot6=34\).
- \(35\frac{2}{5}:5=\frac{177}{5}\cdot\frac{1}{5}=\frac{177}{25}=7\frac{2}{25}\).
- \(18\frac{1}{4}\cdot\frac{1}{9}=\frac{73}{4}\cdot\frac{1}{9}=\frac{73}{36}=2\frac{1}{36}\).
- \(16\frac{1}{8}\cdot\frac{1}{4}=\frac{129}{8}\cdot\frac{1}{4}=\frac{129}{32}=4\frac{1}{32}\).
- \(\frac{15}{8}:\frac{5}{4}=\frac{15}{8}\cdot\frac{4}{5}=\frac{3}{2}=1\frac{1}{2}\).
- \(\frac{12}{11}:\frac{3}{4}=\frac{12}{11}\cdot\frac{4}{3}=\frac{16}{11}=1\frac{5}{11}\).
- \(8:1\frac{7}{9}=8:\frac{16}{9}=8\cdot\frac{9}{16}=\frac{9}{2}=4\frac{1}{2}\).
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