Question

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Answer 1

Переводим смешанные дроби в неправильные и при +- находим НОЗ, если это возможно:

№1

7) $\frac{55}{12} * \frac{14}{11} + \frac{16}{15} * \frac{45}{64} = 6,58$

1. $\frac{55}{12} * \frac{14}{11} = \frac{35}{6} = 5,83$

2. $\frac{16}{15} * \frac{45}{64} = \frac{3}{4} = 0,75$

3. $5,83 + 0,75 = 6,58$

8) $(8 - \frac{15}{7} * \frac{28}{9}) * \frac{27}{44} = 1\frac{7}{11}$

1. $\frac{15}{7} * \frac{28}{9} = \frac{60}{9} = 6\frac{6}{9}$

2. $8 - 6\frac{6}{9} = 2\frac{6}{9}$

3. $\frac{24}{9} * \frac{27}{44} = \frac{18}{11} = 1\frac{7}{11}$

№2

3) $(\frac{81}{16} - \frac{9}{8})(\frac{5}{6} + \frac{3}{14}) = 4,125$

1. $\frac{81}{16} - \frac{9}{8} = \frac{81}{16} - \frac{18}{16} = \frac{63}{16} = 3\frac{15}{16}$

НОЗ: 16.

2. $\frac{5}{6} + \frac{3}{14} = \frac{35}{42} + \frac{9}{42} = \frac{44}{42} = 1\frac{2}{42}$

НОЗ: 42.

3. $\frac{63}{16} * \frac{44}{42} = \frac{231}{56} = 4,125$

4) $\frac{81}{6} - \frac{9}{8} * (\frac{5}{6} + \frac{3}{14}) = 12\frac{27}{84}$

1. $\frac{5}{6} + \frac{3}{14} = \frac{35}{42} + \frac{9}{42} = \frac{44}{42} = 1\frac{2}{42}$

НОЗ: 42.

2. $\frac{9}{8} * \frac{44}{42} = \frac{33}{28} = 1\frac{5}{28}$

3. $\frac{81}{6} - \frac{33}{28} = \frac{1134}{84} - \frac{99}{84} = -\frac{1035}{84} = 12\frac{27}{84}$

НОЗ: 84.

№3

2) $\frac{5}{2} * \frac{10}{3} * \frac{21}{5} * \frac{8}{35} = 8$

1. $\frac{5}{2} * \frac{10}{3} = \frac{25}{3}$

2. $\frac{25}{3} * \frac{21}{5} = \frac{35}{1}$

3. $\frac{35}{1} * \frac{8}{35} = 8$

4) $\frac{9}{5} * \frac{5}{3} * \frac{15}{7} * \frac{14}{3} = 30$

1. $\frac{9}{5} * \frac{5}{3} = \frac{3}{1}$

2. $\frac{3}{1} * \frac{15}{7} = \frac{45}{7}$

3. $\frac{45}{7} * \frac{14}{3} = 30$

№4

1) $\frac{23}{4} * 8 - \frac{7}{3} * \frac{17}{14} - \frac{85}{48} * \frac{32}{15} = 42\frac{68}{168}$

1. $\frac{23}{4} * \frac{8}{1} = 46$

2. $\frac{7}{3} * \frac{17}{14} = \frac{17}{6} = 2\frac{5}{6}$[/tex]

3. $\frac{85}{48} * \frac{32}{15} = \frac{136}{36}$

4. 46 - $2\frac{5}{6}$ = $44\frac{5}{6}$

5. $\frac{269}{6} - \frac{136}{56} = \frac{7532}{168} - \frac{408}{168} = \frac{7124}{168} = 42\frac{68}{168}$

НОЗ: 168.