Вопрос:

Найдите значение выражения 48 * (23/24 - 5/6)

Фотография

Ответ ассистента

1. $48 \cdot \left(\frac{23}{24} - \frac{5}{6}\right) = 48 \cdot \left(\frac{23}{24} - \frac{20}{24}\right) = 48 \cdot \frac{3}{24} = 48 \cdot \frac{1}{8} = 6$ 2. $\frac{7}{10} : \left(\frac{3}{8} - \frac{1}{5}\right) = \frac{7}{10} : \left(\frac{15}{40} - \frac{8}{40}\right) = \frac{7}{10} : \frac{7}{40} = \frac{7}{10} \cdot \frac{40}{7} = 4$ 3. $\frac{13}{9} \cdot \frac{8}{7} + \frac{22}{63} = \frac{104}{63} + \frac{22}{63} = \frac{126}{63} = 2$ 4. $\left(1\frac{3}{5} + 2\frac{2}{15}\right) \cdot \frac{9}{56} = \left(1\frac{9}{15} + 2\frac{2}{15}\right) \cdot \frac{9}{56} = 3\frac{11}{15} \cdot \frac{9}{56} = \frac{56}{15} \cdot \frac{9}{56} = \frac{9}{15} = \frac{3}{5} = 0,6$ 5. $\frac{17}{9} : \left(\frac{2}{9} + \frac{1}{4}\right) = \frac{17}{9} : \left(\frac{8}{36} + \frac{9}{36}\right) = \frac{17}{9} : \frac{17}{36} = \frac{17}{9} \cdot \frac{36}{17} = 4$ 6. $1\frac{1}{2} \cdot \frac{5}{12} : 1\frac{1}{4} = \frac{3}{2} \cdot \frac{5}{12} : \frac{5}{4} = \frac{15}{24} \cdot \frac{4}{5} = \frac{5}{8} \cdot \frac{4}{5} = \frac{1}{2} = 0,5$ 7. $2\frac{1}{3} \cdot \frac{9}{16} : 3\frac{1}{2} = \frac{7}{3} \cdot \frac{9}{16} : \frac{7}{2} = \frac{21}{16} \cdot \frac{2}{7} = \frac{3}{8} = 0,375$ 8. $2\frac{1}{3} \cdot \frac{14}{25} : 1\frac{1}{6} = \frac{7}{3} \cdot \frac{14}{25} : \frac{7}{6} = \frac{98}{75} \cdot \frac{6}{7} = \frac{14}{25} \cdot 2 = \frac{28}{25} = 1,12$ 9. $\frac{7}{10} : \left(\frac{3}{8} - \frac{1}{5}\right) = \frac{7}{10} : \frac{7}{40} = 4$ 10. $\frac{19}{4} : \left(\frac{1}{4} + \frac{3}{7}\right) = \frac{19}{4} : \left(\frac{7}{28} + \frac{12}{28}\right) = \frac{19}{4} : \frac{19}{28} = \frac{19}{4} \cdot \frac{28}{19} = 7$

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