Odpowiedź:
1) 9 : [tex]\frac{1}{3}[/tex] - [tex]\frac{18}{5}[/tex] * 2[tex]\frac{1}{2}[/tex]=[tex]9*\frac{3}{1} - \frac{18}{5} * \frac{5}{2} = \frac{27}{1} - \frac{9}{1}= 27-9=18[/tex]
2) [tex]5\frac{1}{4}*(1\frac{1}{2} -\frac{2}{7} )=\frac{21}{4} *(\frac{3}{2} -\frac{2}{7})=\frac{21}{4} *(\frac{21}{14} - \frac{4}{14} )=\frac{21}{4} *\frac{17}{14} = \frac{51}{6}=8\frac{1}{2} \\[/tex]
3) [tex]\frac{5}{6}:10+1\frac{1}{3}*\frac{5}{6}=\frac{5}{6} *\frac{1}{10} +\frac{4}{3} *\frac{5}{6}=\frac{1}{12} +\frac{10}{9} =\frac{3}{36}+\frac{40}{36} =\frac{43}{36} =1\frac{7}{36} \\[/tex]
4) [tex]5\frac{1}{3} : \frac{4}{9}:2-1\frac{1}{5} *\frac{5}{12}=\frac{16}{3} *\frac{9}{4} :2-\frac{6}{5}*\frac{5}{12}=\frac{12}{1}:2-\frac{1}{2} =6-\frac{1}{2} =5\frac{1}{2}[/tex]
5) [tex](\frac{5}{6}*\frac{5}{6}):1\frac{1}{4} *3*3-\frac{3}{4}= \frac{25}{36} :\frac{5}{4} *9-\frac{3}{4}=\frac{25}{36} *\frac{4}{5}*9-\frac{3}{4}=\frac{5}{9} *9-\frac{3}{4} =5-\frac{3}{4} =4\frac{1}{4}[/tex]
6)
[tex]2\frac{1}{3} -1\frac{1}{2} :\frac{3}{5} :2-\frac{1}{4} =\frac{7}{3} -\frac{3}{2}*\frac{5}{3} *\frac{1}{2} -\frac{1}{4} =\frac{7}{3}-\frac{5}{2} *\frac{1}{2} -\frac{1}{4}= \frac{7}{3}-\frac{5}{4}-\frac{1}{4}=\frac{28}{12} -\frac{15}{12} -\frac{3}{12} =\frac{10}{12} =\frac{5}{6}[/tex]
7) [tex]\frac{3}{4}:1,5+\frac{2}{3} :1,2:2,1=\frac{3}{4}:\frac{3}{2} +\frac{2}{3}:\frac{6}{5}: \frac{21}{10}= \frac{3}{4}*\frac{2}{3}+\frac{2}{3}*\frac{5}{6}* \frac{10}{21}=\frac{1}{2} +\frac{5}{8} *\frac{10}{21}=\frac{1}{2}+\frac{25}{84} =\frac{42}{84} +\frac{25}{84}=\frac{67}{84}[/tex]
8)
[tex]0,8:\frac{1}{2} +\frac{4}{5} :\frac{1}{6}+0,5:2=\frac{4}{5} *\frac{2}{1} +\frac{4}{5} *\frac{6}{1}+\frac{1}{2}*\frac{1}{2}=\frac{8}{5} +\frac{24}{5}+\frac{1}{4} =\frac{32}{5}+ \frac{1}{4} =0,64+0,25=0,89=\frac{89}{100}[/tex]
9) [tex]\frac{5}{8} *2,4-1,25:1\frac{3}{7}*1,4-\frac{3}{5}*1,2= \frac{5}{8}*\frac{24}{10} -\frac{5}{4} *\frac{7}{10} *\frac{7}{5} -\frac{3}{5}*\frac{6}{5}=\frac{3}{2} - \frac{7}{8} *\frac{7}{5} -\frac{18}{25} =\frac{3}{2} -\frac{49}{40} -\frac{18}{25}=\frac{300}{200} -\frac{245}{200} -\frac{144}{200}= -\frac{89}{200}[/tex]
