Упражнение 540 Пж.......

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Упражнение 540 Пж.......

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Математика (26 баллов) | 23 просмотров
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1. \frac{9}{10} * \frac{20}{27} + \frac{5}{16} : \frac{10}{24} - \frac{5}{9} * \frac{27}{20} = \frac{2}{3}

1) \frac{9}{10} * \frac{20}{27} = \frac{2}{3}

2) \frac{5}{16} : \frac{10}{24} = \frac{5}{16} * \frac{24}{10} = \frac{3}{4}

3) \frac{5}{9} * \frac{27}{20} = \frac{3}{4}

4) \frac{2}{3} + \frac{3}{4} = \frac{8}{12} + \frac{9}{12} = \frac{17}{12}

НОЗ: 12.

5) \frac{17}{12} - \frac{3}{4} = \frac{17}{12} - \frac{9}{12} = \frac{8}{12} = \frac{2}{3}

НОЗ: 12.

2. \frac{69}{70} * \frac{7}{23} - \frac{4}{25} : \frac{4}{5} + \frac{3}{5} * \frac{25}{36} = \frac{31}{60}

1) \frac{69}{70} * \frac{7}{23} = \frac{3}{10}

2) \frac{4}{25} : \frac{4}{5} = \frac{4}{25} * \frac{5}{4} = \frac{1}{5}

3) \frac{3}{5} * \frac{25}{36} = \frac{5}{12}

4) \frac{3}{10} - \frac{1}{5} = \frac{3}{10} - \frac{2}{10} = \frac{1}{10}

НОЗ: 10.

5) \frac{1}{10} + \frac{5}{12} = \frac{6}{60} + \frac{25}{60} = \frac{31}{60}

НОЗ: 60.

3. \frac{120}{169} * \frac{13}{60} + \frac{200}{243} : \frac{100}{81} - \frac{1}{13} * 10 = \frac{2}{39}

1) \frac{120}{169} * \frac{13}{60} = \frac{2}{13}

2) \frac{200}{243} : \frac{100}{81} = \frac{200}{243} * \frac{81}{100} = \frac{2}{3}

3) \frac{1}{13} * \frac{10}{1} = \frac{10}{13}

4) \frac{2}{13} + \frac{2}{3} = \frac{6}{39} + \frac{26}{39} = \frac{32}{39}

НОЗ: 39.

5) \frac{32}{39} - \frac{10}{13} = \frac{32}{39} - \frac{30}{39} = \frac{2}{39}

НОЗ: 39.

4. \frac{125}{147} * \frac{21}{50} - \frac{70}{119} * \frac{17}{210} - \frac{3}{14} * \frac{7}{9} = \frac{1}{7}

1) \frac{125}{147} * \frac{21}{50} = \frac{5}{14}

2) \frac{70}{119} * \frac{17}{210} = \frac{1}{21}

3) \frac{3}{14} * \frac{7}{9} = \frac{1}{6}

4) \frac{5}{14} - \frac{1}{21} = \frac{15}{42} - \frac{2}{42} = \frac{13}{42}

НОЗ: 42.

5) \frac{13}{42} - \frac{1}{6} = \frac{13}{42} - \frac{7}{42} = \frac{6}{42} = \frac{1}{7}

НОЗ: 42.

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