Вопрос:

Реши примеры: 1) 24 - 3/64 - 3/4, 2) 27/40 : 18 + 9/16, 3) 2 1/3 : (5/8 - 8/3) - 2 * 1 3/7

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Ответ ассистента

1) $24 - \frac{3}{64} - \frac{3}{4} = 24 - \frac{3}{64} - \frac{48}{64} = 24 - \frac{51}{64} = \frac{24 \cdot 64}{64} - \frac{51}{64} = \frac{1536 - 51}{64} = \frac{1485}{64} = 23\frac{13}{64}$ 2) $\frac{27}{40} : 18 + \frac{9}{16} = \frac{27}{40} \cdot \frac{1}{18} + \frac{9}{16} = \frac{3}{40 \cdot 2} + \frac{9}{16} = \frac{3}{80} + \frac{45}{80} = \frac{48}{80} = \frac{6}{10} = \frac{3}{5}$ 3) $2\frac{1}{3} : (\frac{5}{8} - \frac{8}{3}) - 2 \cdot 1\frac{3}{7} = \frac{7}{3} : (\frac{15}{24} - \frac{64}{24}) - 2 \cdot \frac{10}{7} = \frac{7}{3} : (\frac{-49}{24}) - \frac{20}{7} = \frac{7}{3} \cdot \frac{-24}{49} - \frac{20}{7} = \frac{-8}{1} \cdot \frac{1}{7} - \frac{20}{7} = \frac{-8}{7} - \frac{20}{7} = \frac{-28}{7} = -4$ *Перевод:* 1) $24 - \frac{3}{64} - \frac{3}{4} = 24 - \frac{3}{64} - \frac{48}{64} = 24 - \frac{51}{64} = \frac{24 \cdot 64}{64} - \frac{51}{64} = \frac{1536 - 51}{64} = \frac{1485}{64} = 23\frac{13}{64}$ 2) $\frac{27}{40} : 18 + \frac{9}{16} = \frac{27}{40} \cdot \frac{1}{18} + \frac{9}{16} = \frac{3}{40 \cdot 2} + \frac{9}{16} = \frac{3}{80} + \frac{45}{80} = \frac{48}{80} = \frac{6}{10} = \frac{3}{5}$ 3) $2\frac{1}{3} : (\frac{5}{8} - \frac{8}{3}) - 2 \cdot 1\frac{3}{7} = \frac{7}{3} : (\frac{15}{24} - \frac{64}{24}) - 2 \cdot \frac{10}{7} = \frac{7}{3} : (\frac{-49}{24}) - \frac{20}{7} = \frac{7}{3} \cdot \frac{-24}{49} - \frac{20}{7} = \frac{-8}{1} \cdot \frac{1}{7} - \frac{20}{7} = \frac{-8}{7} - \frac{20}{7} = \frac{-28}{7} = -4$

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