Question

2/9.5/17+7/9+2/9.12/17

Answer 1

\(\dfrac{2}{9}.\dfrac{5}{17}+\dfrac{7}{9}+\dfrac{2}{9}.\dfrac{12}{17}\\ =\left(\dfrac{2}{9}.\dfrac{5}{17}+\dfrac{2}{9}.\dfrac{12}{17}\right)+\dfrac{7}{9}\\ =\dfrac{2}{9}\left(\dfrac{5}{17}+\dfrac{12}{17}\right)+\dfrac{7}{9}\\ =\dfrac{2}{9}+\dfrac{7}{9}\\ =1\)

Answer 2

\(\dfrac{2}{9}\cdot\dfrac{5}{17}+\dfrac{7}{9}+\dfrac{2}{9}\cdot\dfrac{12}{17}\)

\(=\dfrac{2}{9}\left(\dfrac{5}{17}+\dfrac{12}{17}\right)+\dfrac{7}{9}\)

\(=\dfrac{2}{9}+\dfrac{7}{9}=1\)