(-5,17:1 3/4+1,67*4/7)*(-1 1/11)

[tex]\bigg(-5,17\div1\dfrac{3}{4}+1,67\cdot\dfrac{4}{7}\bigg)\cdot\bigg(-1\dfrac{1}{11}\bigg)=\bold{2\dfrac{2}{11}}[/tex]

[tex]1) \: \: -5,17\div1\dfrac{3}{4}=-5,17\div\dfrac{7}{4}=-\dfrac{517}{100}\cdot\dfrac{4}{7}=-\dfrac{517}{175}[/tex]

[tex]2) \: \: 1,67\cdot\dfrac{4}{7}=\dfrac{167}{100}\cdot\dfrac{4}{7}=\dfrac{167}{175}[/tex]

[tex]3) \: \: -\dfrac{517}{175}+\dfrac{167}{175}=-\dfrac{350}{175}=-2[/tex]

[tex]4) \: \: -2\cdot\bigg(-1\dfrac{1}{11}\bigg)=-2\cdot\bigg(-\dfrac{12}{11}\bigg)=-\dfrac{24}{11}=2\dfrac{2}{11}[/tex]