Question

упражнение 540 Пж.......

Answer 1

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.