Question

Calculează: 1/2:(1-1/2):[1/5+4×(1/3+1/3÷ 2)]+1/11.​

Answer 1

Răspuns:

Explicație pas cu pas:

$\dfrac{1}{2} : \bigg(1 - \dfrac{1}{2}\bigg) : \bigg[\dfrac{1}{5} + 4 \cdot \bigg(\dfrac{1}{3} + \dfrac{1}{3} : 2\bigg)\bigg] + \dfrac{1}{11} =$

$= \dfrac{1}{2} : \bigg(\dfrac{2}{2} - \dfrac{1}{2}\bigg) : \bigg[\dfrac{1}{5} + 4 \cdot \bigg(\dfrac{1}{3} + \dfrac{1}{3} \cdot \dfrac{1}{2}\bigg)\bigg] + \dfrac{1}{11}$

$= \dfrac{1}{2} : \dfrac{1}{2} : \bigg[\dfrac{1}{5} + 4 \cdot \bigg(\dfrac{2}{6} + \dfrac{1}{6}\bigg)\bigg] + \dfrac{1}{11}$

$= 1 : \bigg(\dfrac{1}{5} + 4 \cdot \dfrac{3}{6}\bigg) + \dfrac{1}{11} = 1 : \bigg(\dfrac{1}{5} + 2\bigg) + \dfrac{1}{11}$

$= 1 : \dfrac{11}{5} + \dfrac{1}{11} = \dfrac{5}{11} + \dfrac{1}{11} = \bf \dfrac{6}{11}$