Question

Efectuează 1-1/2:(1-1/2):[-1/5+(-4)•(1/3+1/3:(-2)]+1/13?

Answer 1

Explicație pas cu pas:

$1 - \frac{1}{2} : \Big(1 - \frac{1}{2}\Big) : \Big[ - \frac{1}{5} + ( - 4) \cdot \Big( \frac{1}{3} + \frac{1}{3} : ( - 2)\Big)\Big] + \frac{1}{13}=$

$= 1 - \frac{1}{2} : \frac{1}{2} : \Big[ - \frac{1}{5} - 4 \cdot \Big( \frac{1}{3} - \frac{1}{3} \cdot \frac{1}{2} \Big)\Big] + \frac{1}{13}$

$= 1 - 1 : \Big[ - \frac{1}{5} - 4 \cdot \Big( \frac{1}{3} - \frac{1}{6}\Big)\Big] + \frac{1}{13}$

$= 1 - 1 : \Big( - \frac{1}{5} - 4 \cdot \frac{1}{6}\Big) + \frac{1}{13}$

$= 1 - 1 : \Big( - \frac{^{3)} 1}{5} - \frac{^{5)} 2}{3}\Big) + \frac{1}{13}$

$= 1 - 1 : \Big( - \frac{13}{15}\Big) + \frac{1}{13} = 1 + \frac{15}{13} + \frac{1}{13}$

$= \frac{13 + 16}{13} = \bf \frac{29}{13} = \bf 2 \frac{3}{13}$