Question

\(\dfrac{-3}{7}+\dfrac{15}{26}+\left(-\dfrac{2}{13}+\dfrac{3}{7}\right)\)

Answer 1

\(=-\dfrac{3}{7}+\dfrac{15}{26}+\dfrac{25}{91}\)

\(=\dfrac{27}{182}+\dfrac{25}{91}\)

\(=\dfrac{11}{26}\)

Answer 2

\(-\dfrac{3}{7}+\dfrac{15}{26}+\left(-\dfrac{2}{13}+\dfrac{3}{7}\right)\)

\(=-\dfrac{3}{7}+\dfrac{15}{26}-\dfrac{2}{13}+\dfrac{3}{7}\)

\(=\left(-\dfrac{3}{7}+\dfrac{3}{7}\right)+\left(\dfrac{15}{26}-\dfrac{4}{26}\right)\)

\(=\dfrac{11}{26}\)

Answer 3

`[-3]/7+15/26+(-2/13+3/7)`

`=[-3]/7+15/26-2/13+3/7`

`=([-3]/7+3/7)+(15/26-2/13)`

`=0+(15/26-4/26)`

`=11/26`

Answer 4

\(\dfrac{-3}{7}+\dfrac{15}{26}+\left(\dfrac{-2}{13}+\dfrac{3}{7}\right)=\dfrac{-3}{7}+\dfrac{15}{26}-\dfrac{2}{13}+\dfrac{3}{7}=\left(\dfrac{-3}{7}+\dfrac{3}{7}\right)+\left(\dfrac{15}{26}-\dfrac{2}{13}\right)=0+\left(\dfrac{15}{26}-\dfrac{4}{26}\right)=0+\dfrac{11}{26}=\dfrac{11}{26}\)

Answer 5

\(=-\dfrac{3}{7}+\dfrac{15}{26}+\left(\dfrac{-2.7+13.3}{91}\right)\\ =-\dfrac{3}{7}+\dfrac{15}{26}+\dfrac{25}{91}\\ =\dfrac{-3.13+25}{91}+\dfrac{15}{26}\\ =-\dfrac{2}{13}+\dfrac{15}{26}\\ =\dfrac{-2.2+15}{26}=\dfrac{11}{26}\)

Answer 6

Answer 7