a) [tex]\frac{3}{4} + \frac{2}{3} : (-\frac{8}{12} ) + (1\frac{1}{2} )^{2} =[/tex]
[tex]=\frac{3}{4} - \frac{2}{3} * \frac{12}{8} + (\frac{3}{2} )^{2} =[/tex]
[tex]= \frac{3}{4} - \frac{4}{4} + \frac{9}{4} =[/tex]
[tex]= \frac{3}{4} - 1 + \frac{9}{4} =[/tex]
[tex]= - \frac{1}{4} + \frac{9}{4} = 2[/tex]
b) [tex]\frac{(2-\frac{1}{7}) * 3}{2 + 0,6} -8 * \frac{3}{7} =[/tex]
[tex]= \frac{\frac{13}{7}*3 }{2,6} - \frac{24}{7} =[/tex]
[tex]= \frac{\frac{39}{7} }{\frac{13}{5} } - \frac{24}{7} =[/tex]
[tex]= \frac{15}{7} - \frac{24}{7} = - \frac{9}{7}[/tex]
c) [tex](\frac{1}{3} +\frac{2}{7} ) : (1 - \frac{1}{9} ) + \frac{3}{7} =[/tex]
[tex]= \frac{13}{21} : \frac{8}{9} + \frac{3}{7} =[/tex]
[tex]= \frac{13}{21} * \frac{9}{8} + \frac{3}{7} =[/tex]
[tex]= \frac{13}{7} * \frac{3}{8} + \frac{3}{7} =[/tex]
[tex]= \frac{39}{56} + \frac{3}{7} = \frac{9}{8}[/tex]
d) [tex](2* \frac{5}{6} ) ^2 - (3^2 - \sqrt{1\frac{7}{9} } ) =[/tex]
[tex]= (\frac{5}{3} )^2 - (9 - \sqrt{\frac{16}{9} } ) =[/tex]
[tex]= \frac{25}{9} - (9 - \frac{4}{3} ) =[/tex]
[tex]= \frac{25}{9} - \frac{23}{3} = -\frac{44}{9}[/tex]
e) [tex]((-\frac{2}{3})^2 : \frac{8}{9} )^2 - (\frac{3}{4} - 1\frac{1}{8} ) =[/tex]
[tex]= ((\frac{2}{3} )^2 * \frac{9}{8} )^2 - (\frac{3}{4} -\frac{9}{8} ) =[/tex]
[tex]= (\frac{4}{9} -\frac{9}{8} )^2 - (- \frac{3}{8} ) =[/tex]
[tex]= (\frac{1}{2} )^2 + \frac{3}{8} =[/tex]
[tex]= \frac{1}{4} + \frac{3}{8} = \frac{5}{8}[/tex]
f) [tex]1,6 * \frac{7}{16} - \frac{2,7}{33} - \frac{5*0,7}{0,35} =[/tex]
[tex]= \frac{8}{5} * \frac{7}{16} - \frac{\frac{27}{10} }{33} - 5 * 2 =[/tex]
[tex]= \frac{1}{5} * \frac{7}{2} - \frac{9}{110} - 10 =[/tex]
[tex]= \frac{7}{10} - \frac{9}{110} - 10 = -\frac{516}{55}[/tex]
