Răspuns:
[tex]\frac{6}{5}[/tex]
Explicație pas cu pas:
[tex](2\frac{2}{5} - 1\frac{2}{5} - \frac{1}{6} ) : [0,2(3)*\frac{10}{7} + \frac{1}{2} ]^{2} =[/tex]
[tex]= (\frac{10+2}{5} - \frac{5+2}{5} - \frac{1}{6} ) : [\frac{23-2}{90} *\frac{10}{7} + \frac{1}{2} ]^{2}[/tex]
[tex]= (\frac{12}{5} - \frac{7}{5} - \frac{1}{6} ) : (\frac{21*10}{90*7} + \frac{1}{2} )^{2}[/tex]
[tex]= (\frac{5}{5} - \frac{1}{6} ) : (\frac{1}{3} +\frac{1}{2} )^{2}[/tex]
[tex]= (1-\frac{1}{6} ) : (\frac{2+3}{6} )^{2}[/tex]
[tex]= \frac{6-1}{6} : (\frac{5}{6} )^{2}[/tex]
[tex]= \frac{5}{6} : \frac{25}{36}[/tex]
[tex]= \frac{5}{6} * \frac{36}{25}[/tex]
[tex]= \frac{6}{5}[/tex]
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Răspuns:
[tex]\frac{6}{5}[/tex]
Explicație pas cu pas:
[tex](2\frac{2}{5} - 1\frac{2}{5} - \frac{1}{6} ) : [0,2(3)*\frac{10}{7} + \frac{1}{2} ]^{2} =[/tex]
[tex]= (\frac{10+2}{5} - \frac{5+2}{5} - \frac{1}{6} ) : [\frac{23-2}{90} *\frac{10}{7} + \frac{1}{2} ]^{2}[/tex]
[tex]= (\frac{12}{5} - \frac{7}{5} - \frac{1}{6} ) : (\frac{21*10}{90*7} + \frac{1}{2} )^{2}[/tex]
[tex]= (\frac{5}{5} - \frac{1}{6} ) : (\frac{1}{3} +\frac{1}{2} )^{2}[/tex]
[tex]= (1-\frac{1}{6} ) : (\frac{2+3}{6} )^{2}[/tex]
[tex]= \frac{6-1}{6} : (\frac{5}{6} )^{2}[/tex]
[tex]= \frac{5}{6} : \frac{25}{36}[/tex]
[tex]= \frac{5}{6} * \frac{36}{25}[/tex]
[tex]= \frac{6}{5}[/tex]