Question

\(\dfrac{-5}{7}\).\(\dfrac{3}{13}\)-\(\dfrac{-5}{7}\).\(\dfrac{10}{13}\)+\(1\dfrac{5}{7}\)

Answer 1

\(=-\dfrac{15}{91}-\dfrac{50}{91}+\dfrac{12}{7}\)

\(=-\dfrac{65}{91}+\dfrac{12}{7}\)

\(=1\)

Answer 2

= 191/91.

Answer 3

\(\dfrac{-5}{7}\cdot\dfrac{3}{13}-\dfrac{-5}{7}\cdot\dfrac{10}{13}+1\dfrac{5}{7}\)

\(=\dfrac{5}{7}\cdot\dfrac{-3}{13}+\dfrac{5}{7}\cdot\dfrac{10}{13}+\dfrac{5}{7}+1\)

\(=\dfrac{5}{7}\left(-\dfrac{3}{13}+\dfrac{10}{13}+1\right)+1\)

\(=\dfrac{5}{7}\cdot\dfrac{20}{13}+1\)

\(=\dfrac{100}{91}+1\)

\(=\dfrac{191}{91}\)