Вопрос:

1) Найти значения выражений: 12:1⅓= 63⋅2/9= 2 1/12⋅15/9= 3 4/9 ÷ 2/27= 4:11/13= 7/12:6= 5 1/18÷8/15= 7 3/125⋅4= 99⋅1/33= 25/28:2= 4 2/3 ÷ 3/5= 4 1/6⋅16 2/3=

Ответ:

Решение: 1) \(12 : 1\frac{1}{3} = 12 : \frac{4}{3} = 12 \cdot \frac{3}{4} = \frac{12 \cdot 3}{4} = \frac{36}{4} = 9\) 2) \(63 \cdot \frac{2}{9} = \frac{63 \cdot 2}{9} = \frac{126}{9} = 14\) 3) \(2\frac{1}{12} \cdot 1\frac{5}{9} = \frac{25}{12} \cdot \frac{14}{9} = \frac{25 \cdot 14}{12 \cdot 9} = \frac{350}{108} = \frac{175}{54} = 3\frac{13}{54}\) 4) \(3\frac{4}{9} : \frac{2}{27} = \frac{31}{9} : \frac{2}{27} = \frac{31}{9} \cdot \frac{27}{2} = \frac{31 \cdot 27}{9 \cdot 2} = \frac{31 \cdot 3}{2} = \frac{93}{2} = 46\frac{1}{2}\) 5) \(4 : \frac{11}{13} = 4 \cdot \frac{13}{11} = \frac{4 \cdot 13}{11} = \frac{52}{11} = 4\frac{8}{11}\) 6) \(\frac{7}{12} : 6 = \frac{7}{12} \cdot \frac{1}{6} = \frac{7 \cdot 1}{12 \cdot 6} = \frac{7}{72}\) 7) \(5\frac{1}{18} : \frac{8}{15} = \frac{91}{18} : \frac{8}{15} = \frac{91}{18} \cdot \frac{15}{8} = \frac{91 \cdot 15}{18 \cdot 8} = \frac{91 \cdot 5}{6 \cdot 8} = \frac{455}{48} = 9\frac{23}{48}\) 8) \(\frac{7}{125} \cdot 4 = \frac{7 \cdot 4}{125} = \frac{28}{125}\) 9) \(99 \cdot \frac{1}{33} = \frac{99}{33} = 3\) 10) \(\frac{25}{28} : 2 = \frac{25}{28} \cdot \frac{1}{2} = \frac{25}{56}\) 11) \(4\frac{2}{3} : \frac{3}{5} = \frac{14}{3} : \frac{3}{5} = \frac{14}{3} \cdot \frac{5}{3} = \frac{14 \cdot 5}{3 \cdot 3} = \frac{70}{9} = 7\frac{7}{9}\) 12) \(4\frac{1}{6} \cdot 16\frac{2}{3} = \frac{25}{6} \cdot \frac{50}{3} = \frac{25 \cdot 50}{6 \cdot 3} = \frac{1250}{18} = \frac{625}{9} = 69\frac{4}{9}\)
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