Answer 1

-5/7 . 3/13 - 5/7 . 10/13 + 1 5/7

= -5/7 . (3/13 + 10/13) + 1 + 5/7

= -5/7 . 1 + 1 + 5/7

= (-5/7 + 5/7) + 1

= 0 + 1

= 1

Answer 2

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

\(=-\dfrac{5}{7}\cdot\left(\dfrac{3}{13}+\dfrac{10}{13}\right)+\dfrac{12}{7}\)

\(=-\dfrac{5}{7}\cdot1+\dfrac{12}{7}\)

\(=-\dfrac{5}{7}+\dfrac{12}{7}=\dfrac{7}{7}=1\)