Question

\(\dfrac{-5}{7}.\dfrac{19}{41}+\dfrac{5}{7}.\dfrac{-21}{41}+\dfrac{5}{7}\)

Answer 1

\(-\dfrac{5}{7}\left(\dfrac{-19}{41}+-\dfrac{21}{41}+1\right)=-\dfrac{5}{7}.\dfrac{1}{41}=-\dfrac{5}{287}\)

Answer 2

\(=\dfrac{-5}{7}\left(\dfrac{19}{41}+\dfrac{21}{41}-1\right)=\dfrac{-5}{7}\cdot\dfrac{-1}{41}=\dfrac{5}{287}\)

Answer 3

= 5/287

Answer 4

\(\dfrac{-5}{7}.\dfrac{19}{41}+\dfrac{5}{7}.\dfrac{-21}{41}+\dfrac{5}{7}\)

\(=\dfrac{-95}{287}+\dfrac{-15}{41}+\dfrac{5}{7}\)

\(=\left(\dfrac{-200}{287}\right)+\dfrac{5}{7}\)

\(=\dfrac{5}{287}\)