Question

1,1(6)-[(0,5-1 intreg si 1 pe 4)-(0,(6)-2 intreg si 1 pe 4)

Answer 1

$\it 1,1(6)-\Big{[}\left(0,5-1\dfrac{1}{4}\right)\right-\left(0,(6)-2\dfrac{1}{4}{\right)} \Big{]}=\\ \\ \\ = 1\dfrac{16-1}{90}-\Big{[}\left(\dfrac{1}{2}-\dfrac{5}{4}\right)\right-\left(\dfrac{2}{3}-\dfrac{9}{4}{\right)} \Big{]}=\\ \\ \\ = 1\dfrac{\ 15^{(15}}{90}-\left(\dfrac{^{6)}1}{\ 2}-\dfrac{^{3)}5}{\ 4}-\dfrac{^{4)}2}{\ 3}+\dfrac{^{3)}9}{\ 4}\right)=1\dfrac{1}{6}-\dfrac{6-15-8+27}{12}=\\ \\ \\ =\dfrac{7}{6}-\dfrac{\ 10^{(2}}{12}=\dfrac{7}{6}-\dfrac{5}{6}=\dfrac{\ \ 2^{(2}}{6}=\dfrac{1}{3}$