Question

4/5 . 7/6 - 13/12 . -4/5

Answer 1

\(\dfrac{4}{5}\cdot\dfrac{7}{6}-\dfrac{13}{12}\cdot\dfrac{-4}{5}\)  

\(=\dfrac{14}{15}-\left(\dfrac{-13}{15}\right)\)  

\(=\dfrac{14}{15}+\dfrac{13}{15}\) 

\(=\dfrac{27}{15}=\dfrac{9}{5}\)

Answer 2

\(\dfrac{4}{5}\cdot\dfrac{7}{6}-\dfrac{13}{12}\cdot\dfrac{-4}{5}\\ =\dfrac{4}{5}\cdot\dfrac{7}{6}+\dfrac{13}{12}\cdot\dfrac{4}{5}\\ =\dfrac{4}{5}\left(\dfrac{7}{6}+\dfrac{13}{12}\right)\\ =\dfrac{4}{5}\cdot\dfrac{9}{4}=\dfrac{9}{5}\)