a)
[tex]\frac35-(1,4*\frac5{14}-\frac{0,9}{3^2}):(-\frac15)=\frac35-(\frac{14}{10}*\frac5{14}-\frac9{10}:9})*(-5)=\frac35-(\frac{14}2*\frac1{14}-\frac9{10}*\frac1{9})*(-5)=\frac35-(\frac12-\frac1{10})*(-5)=\frac35-(\frac{5}{10}-\frac1{10})*(-5)=\frac35-\frac4{10}*(-5)=\frac35+\frac{20}{10}=\frac35+\frac{10}5=\frac{13}5=2\frac35[/tex]
b)
[tex]\frac45:(\frac12-\frac15)-(\frac23-(\frac38-1\frac13))=\frac45:(\frac5{10}-\frac2{10})-(\frac23-(\frac38-\frac43))=\frac45:\frac3{10}-(\frac23-(\frac{9}{24}-\frac{32}{24}))=\frac45*\frac{10}3-(\frac23-(-\frac{23}{24})=\frac{4}1*\frac{2}3-(\frac23+\frac{23}{24})=\frac83-(\frac{16}{24}+\frac{23}{24})=\frac83-\frac{39}{24}=\frac{64}{24}-\frac{39}{24}=\frac{25}{24}=1\frac1{24}[/tex]
c)
[tex]((-1\frac12)^2-(-1\frac13)^2):4\frac14=((-\frac32)^2-(-\frac43)^2):\frac{17}4=(\frac94-\frac{16}9)*\frac4{17}=(\frac{81}{36} - \frac{64}{36})*\frac4{17}=\frac{17}{36}*\frac{4}{17}=\frac{1}{9}*\frac1{1}=\frac19[/tex]
[tex]a) \frac{3}{5}-(1,4*\frac{5}{14}-\frac{0,9}{3^{2}}):(-\frac{1}{5})=\frac{3}{5}-(\frac{14}{10}*\frac{5}{14}-\frac{9}{10}:\frac{9}{1}):(-\frac{1}{5})=\frac{3}{5}-(\frac{1}{2}-\frac{9}{10}*\frac{1}{9}):(-\frac{1}{5})=\frac{3}{5}-(\frac{1}{2}-\frac{1}{10}):(-\frac{1}{5})=\frac{3}{5}-(\frac{5}{10}-\frac{1}{10}):(-\frac{1}{5})=\frac{3}{5}-\frac{4}{10}*(-\frac{5}{1})=\frac{3}{5}-\frac{4}{2}*(-\frac{1}{1})=\frac{3}{5}-2*(-1)=\frac{3}{5}+2=2\frac{3}{5}[/tex]
[tex]b) \frac{4}{5}:(\frac{1}{2}-\frac{1}{5})-[\frac{2}{3}-(\frac{3}{8}*1\frac{1}{3})]=\frac{4}{5}:(\frac{5}{10}-\frac{2}{10})-[\frac{2}{3}-(\frac{3}{8}*\frac{4}{3})]=\frac{4}{5}:\frac{3}{10}-(\frac{2}{3}-\frac{1}{2})=\frac{4}{5}*\frac{10}{3}-(\frac{4}{6}-\frac{3}{6})=\frac{4}{1}*\frac{2}{3}-\frac{1}{6}=\frac{8}{3}-\frac{1}{6}=\frac{16}{6}-\frac{1}{6}=\frac{15}{6}=2\frac{3}{6}=2\frac{1}{2}[/tex]
[tex]c) [(-1\frac{1}{2})^{2}-(-1\frac{1}{3})^{2}]:4\frac{1}{4}=[(-\frac{3}{2})^{2}-(-\frac{4}{3})^{2}]:\frac{17}{4}=(\frac{9}{4}-\frac{16}{9}):\frac{17}{4}=(\frac{81}{36}-\frac{64}{36}):\frac{17}{4}=\frac{17}{36}*\frac{4}{17}=\frac{1}{3}[/tex]
