Question

(Х -5/6)- 1/5 =1 1/3 решение?

Answer 1

Ответ:

$2 \dfrac{11}{30}$

Пошаговое объяснение:

$\displaystyle \bigg(x - \frac{5}{6} \bigg) - \frac{1}{5} = 1\frac{1}{3} \\ \\ \bigg(x - \frac{5}{6} \bigg) - \frac{1}{5} = \frac{3 \cdot1 + 1}{3} \\ \\ \bigg(x - \frac{5}{6} \bigg) - \frac{1}{5} = \frac{4}{3} \\ \\ \bigg(x - \frac{5}{6} \bigg) = \frac{4 {}^{(5} }{3} + \frac{1 {}^{3} }{5} \\ \\ \bigg(x - \frac{5}{6} \bigg) = \frac{4 \cdot5 + 1 \cdot3}{3 \cdot5} \\ \\ \bigg(x - \frac{5}{6} \bigg) = \frac{20 + 3}{15} \\ \\ \bigg(x - \frac{5}{6} \bigg) = \frac{23}{15} \\ \\ x - \frac{5}{6} = \frac{23}{15} \\ \\ x = \frac{23 {}^{(2} }{15} + \frac{5 {}^{(5} }{6} \\ \\ x = \frac{23 \cdot2 + 5 \cdot5}{30} \\ \\ x = \frac{46 + 25}{30} \\ \\ \boxed{x = \frac{71}{30} = 2 \frac{11}{30} }$