Question

5/11+7/13+3/8+10/13+6/11+5/8+9/13

 

Answer 1

\(\dfrac{5}{11}+\dfrac{7}{13}+\dfrac{3}{8}+\dfrac{10}{13}+\dfrac{6}{11}+\dfrac{5}{8}+\dfrac{9}{13}=\left(\dfrac{5}{11}+\dfrac{6}{11}\right)+\left(\dfrac{7}{13}+\dfrac{10}{13}+\dfrac{9}{13}\right)+\left(\dfrac{3}{8}+\dfrac{5}{8}\right)=1+2+1=4\)

Answer 2

\(=\left(\dfrac{5}{11}+\dfrac{6}{11}\right)+\left(\dfrac{7}{13}+\dfrac{10}{13}+\dfrac{9}{13}\right)+\left(\dfrac{3}{8}+\dfrac{5}{8}\right)\\ =\dfrac{11}{11}+\dfrac{26}{13}+\dfrac{8}{8}=1+2+1\\ =4\)