Question

Помогите срочно, пожалуйста!!

Answer 1

а) $6\frac{6}{7} -4\frac{4}{7} + 5\frac{1}{7} = \frac{48}{7} - \frac{32}{7} + \frac{36}{7} = \frac{48 - 32 - 36}{7} = \frac{-20}{7} = -\frac{20}{7}$

б) $7\frac{5}{11} + 2\frac{6}{11} - 5\frac{10}{11} = \frac{82}{11} + \frac{28}{11} - \frac{65}{11} = \frac{82 + 28 - 65}{11} = \frac{45}{11}$

в) $(5\frac{17}{19} + 2\frac{4}{19}) - 4\frac{17}{19} = (\frac{112}{19} + \frac{42}{19}) - \frac{93}{19} = \frac{112 + 42 - 93}{19} = \frac{61}{19}$

Уравнение:

а) $x - 4\frac{3}{23} = 2\frac{22}{23}$

$x - \frac{95}{23} = \frac{68}{23} | * 23$

$23x - 95 = 68$

$23x = 68 + 95$

$23x = 163$

$x = 163 : 23$

$x = \frac{163}{23}$

Ответ: $x = \frac{163}{23}$

б) $10\frac{10}{17} - (x + \frac{2}{17}) = 8\frac{9}{17}$

$\frac{180}{17} - (x + \frac{2}{17}) = \frac{145}{17}$

$\frac{180}{17} - x - \frac{2}{17}) = \frac{145}{17}$

$\frac{180}{17} - x - \frac{2}{17}) = \frac{145}{17} | * 17$

$180 - 17x + 2 = 145$

$-17x = 145 - 180 - 2$

$-17x = - 37 | : (-17)$

$x = \frac{37}{17}$

Ответ: $x = \frac{37}{17}$