a)
[latex] frac{8*8 frac{1}{4} -12 frac{1}{5} / frac{61}{10}-(-3 frac{1}{3})/ frac{5}{9} }{16/ frac{8}{5} +8 frac{2}{5} *1 frac{2}{7} } =[/latex]
[latex] frac{frac{8}{1}*frac{33}{4}-frac{61}{5}*frac{10}{61}-(- frac{10}{3})* frac{9}{5}}{ frac{16}{1}* frac{5}{8}+ frac{42}{5}* frac{9}{7}} =[/latex]
[latex] frac{66-2-(-6)}{10+ frac{54}{5}} = frac{70}{ frac{50}{5}+ frac{54}{5}} = frac{70}{ frac{104}{5}} =70* frac{5}{104} = frac{175}{52} =3 frac{19}{52} [/latex]
b)
[latex]3,1/ frac{(5,5*3 frac{1}{3}+3,75)/ frac{7}{12}}{8- frac{10}{27}/ frac{5}{6}} =[/latex]
[latex]=3,1 / frac{( frac{55}{10}* frac{10}{3}+3 frac{3}{4})* frac{12}{7}}{8- frac{10}{27}* frac{6}{5}} =[/latex]
[latex]=3,1/ frac{( frac{55}{3}+ frac{15}{4})* frac{12}{7} }{8- frac{4}{9} } =3,1/ frac{( frac{220}{12} + frac{45}{12})* frac{12}{7}}{ frac{72}{9}- frac{4}{9}} =3,1/ frac{ frac{265}{12}* frac{12}{7}}{ frac{68}{9} } =[/latex]
[latex]=3,1/ frac{ frac{265}{7}}{ frac{68}{9} } = frac{ frac{31}{10} * frac{265}{7} }{ frac{68}{9} } = frac{31}{2} * frac{53}{7} * frac{9}{68}= frac{14787}{952} =15 frac{507}{952} [/latex]
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