Question

12/17 . 9/13 - 7/15 . 6/13 +5/17 . 9/13 - 8/15 . 6/13

Answer 1

\(\dfrac{12}{17}.\dfrac{9}{13}-\dfrac{7}{15}.\dfrac{6}{13}+\dfrac{5}{17}.\dfrac{9}{13}-\dfrac{8}{15}.\dfrac{6}{13}\)

\(=\dfrac{9}{13}.\left(\dfrac{12}{17}+\dfrac{5}{17}\right)-\dfrac{6}{13}.\left(\dfrac{7}{15}+\dfrac{8}{15}\right)\)

\(=\dfrac{9}{13}.\dfrac{17}{17}-\dfrac{6}{13}.\dfrac{15}{15}\)

\(=\dfrac{9}{13}.1-\dfrac{6}{13}.1\)

\(=\dfrac{9}{13}-\dfrac{6}{13}\)

\(=\dfrac{9-6}{13}\)

\(=\dfrac{3}{13}\)