Question

1,25 : (\frac{4}{5})^ -2 + 1,(6)+ 0,1(6)

Answer 1

$1,25:( \frac{4}{5} )^-^2+1,(6)+0,1(6)=1,25 : \frac{25}{16} + \frac{5}{3} + \frac{1}{6} = \\ =1,25* \frac{16}{25} + \frac{5}{3} + \frac{1}{6} = \frac{20}{25} + \frac{5}{3} + \frac{1}{6} = \frac{20}{25} + \frac{10}{6} + \frac{1}{6} = \frac{20}{25} + \frac{11}{6} = \\ = \frac{120}{150} + \frac{275}{150} = \frac{395}{150} = \frac{79}{30}$