Question

17/11 - ( 9/4 - 9/5 ) - ( 5/4 + 6/7) 

Answer 1

\(=\dfrac{17}{11}-\dfrac{9}{4}+\dfrac{9}{5}-\dfrac{5}{4}-\dfrac{6}{7}\\ =\dfrac{17}{11}-\dfrac{7}{2}+\dfrac{9}{5}-\dfrac{6}{7}\\ =\dfrac{17.70-385.7+154.9-110.6}{770}\\ =-\dfrac{779}{770}\)

Answer 2

\(\dfrac{17}{11}-\left(\dfrac{9}{4}-\dfrac{9}{5}\right)-\left(\dfrac{5}{4}+\dfrac{6}{7}\right)\)

\(=\dfrac{17}{11}-\dfrac{9}{4}+\dfrac{9}{5}-\dfrac{5}{4}-\dfrac{6}{7}\)

\(=\dfrac{17}{11}-\dfrac{7}{2}+\dfrac{9}{5}-\dfrac{6}{7}\)

\(=\dfrac{1190}{770}-\dfrac{385}{770}+\dfrac{1386}{770}-\dfrac{660}{770}\)

\(=\dfrac{1531}{770}\)