Răspuns:
[tex]\frac{107575351}{2634660}[/tex]
Explicație pas cu pas:
[tex][(3-\frac{1}{2} ):\frac{1}{2} -\frac{1}{2} ]:\frac{41}{2} [\frac{1}{2} :\frac{2}{3} +\frac{2}{3} :\frac{3}{4} -(\frac{5}{6} )^2]*1*\frac{1}{17} (\frac{2}{5} )^2:(\frac{3}{5}) ^2-\frac{3}{8} *\frac{24}{27} [(\frac{1}{2} )^3*\frac{1}{3} +\frac{1}{2} *(\frac{1}{3} )^2]*\\\\10*\frac{2}{7} (\frac{1}{2} )^2*\frac{2}{3} +1*\frac{3}{7} *(\frac{1}{3} +\frac{1}{2} :2)(\frac{1}{3})^3*56-(\frac{1}{3} )*3*108*\frac{2}{5} -\frac{1}{7} *[2+\frac{1}{4} :(\frac{3}{8} -\frac{1}{16} )]=[/tex]
[tex]\\=(\frac{5}{2} *\frac{2}{1} -\frac{1}{2} )*\frac{2}{41} (\frac{3}{4} +\frac{4}{3} -\frac{25}{36} )*\frac{1}{17} *\frac{1}{9} -\frac{1}{3} (\frac{1}{8} *\frac{1}{3} +\frac{1}{2} *\frac{1}{9} )*\frac{20}{7} *\frac{1}{4} *\frac{2}{3} +\frac{3}{7} *(\frac{1}{3} +\frac{1}{4} )*\frac{1}{27} *56-\frac{1}{3} *\\\\3*108*\frac{2}{5} -\frac{1}{7} *(\frac{9}{4} *\frac{16}{5} )=[/tex]
[tex]\\=\frac{9}{2} *\frac{2}{41} *(\frac{3}{4} +\frac{23}{36} )*\frac{1}{153} -\frac{1}{3} *(\frac{1}{24} +\frac{1}{18}) *\frac{10}{3}+\frac{3}{7} *\frac{5}{12} *\frac{56}{27} -\frac{3}{3} *\frac{216}{5} -\frac{1}{7} *\frac{36}{5} =[/tex]
[tex]=\frac{19}{41} *\frac{50}{36} *\frac{1}{153} -\frac{7}{24} *\frac{10}{3} +\frac{5}{28} *\frac{56}{27} -\frac{216}{5} -\frac{36}{35} =[/tex]
[tex]=\frac{25}{82} *\frac{1}{153} -\frac{35}{36} +\frac{10}{27} -\frac{1476}{35} =[/tex]
[tex]=\frac{25}{12546} -\frac{145}{108} -\frac{1476}{35} =[/tex]
[tex]=\frac{25}{12546} -(-\frac{154333}{3780} )=[/tex]
[tex]=\frac{25}{12546} +\frac{154333}{3780} =[/tex]
[tex]=\frac{5250+107570101}{2634660} =[/tex]
[tex]=\frac{107575351}{2634660}[/tex]
Succes! :)
