Question

Answer 1

\(A=\dfrac{\dfrac{2}{3}-\dfrac{2}{5}+\dfrac{2}{17}}{\dfrac{8}{3}-\dfrac{8}{5}+\dfrac{8}{17}}+\dfrac{3+\dfrac{3}{5}-\dfrac{3}{16}}{7+\dfrac{7}{5}-\dfrac{7}{16}}\)

\(=\dfrac{2\left(\dfrac{1}{3}-\dfrac{1}{5}+\dfrac{1}{17}\right)}{8\left(\dfrac{1}{3}-\dfrac{1}{5}+\dfrac{1}{17}\right)}+\dfrac{3\left(1+\dfrac{1}{5}-\dfrac{1}{16}\right)}{7\left(1+\dfrac{1}{5}-\dfrac{1}{16}\right)}\)

\(=\dfrac{2}{8}+\dfrac{3}{7}=\dfrac{1}{4}+\dfrac{3}{7}=\dfrac{19}{28}\)