Question

Dau coroană! Cât de repede se poate! ​

Answer 1

Răspuns:

$\frac{6}{5}$

Explicație pas cu pas:

$(2\frac{2}{5} - 1\frac{2}{5} - \frac{1}{6} ) : [0,2(3)*\frac{10}{7} + \frac{1}{2} ]^{2} =$

$= (\frac{10+2}{5} - \frac{5+2}{5} - \frac{1}{6} ) : [\frac{23-2}{90} *\frac{10}{7} + \frac{1}{2} ]^{2}$

$= (\frac{12}{5} - \frac{7}{5} - \frac{1}{6} ) : (\frac{21*10}{90*7} + \frac{1}{2} )^{2}$

$= (\frac{5}{5} - \frac{1}{6} ) : (\frac{1}{3} +\frac{1}{2} )^{2}$

$= (1-\frac{1}{6} ) : (\frac{2+3}{6} )^{2}$

$= \frac{6-1}{6} : (\frac{5}{6} )^{2}$

$= \frac{5}{6} : \frac{25}{36}$

$= \frac{5}{6} * \frac{36}{25}$

$= \frac{6}{5}$