Question

A, (-1/3)× (15/19)×38/45 |b, (-5/9)×3/11+(13/18)×3/11 |c, (2/1× 9/17×3/32) : (-3/17)

Answer 1

a: \(\dfrac{-1}{3}\cdot\dfrac{15}{19}\cdot\dfrac{38}{45}\)

\(=-\dfrac{15}{45}\cdot\dfrac{1}{3}\cdot\dfrac{38}{19}\)

\(=-\dfrac{1}{3}\cdot\dfrac{1}{3}\cdot2=-\dfrac{2}{9}\)

b: \(\left(-\dfrac{5}{9}\right)\cdot\dfrac{3}{11}+\dfrac{13}{18}\cdot\dfrac{3}{11}\)

\(=\dfrac{3}{11}\left(-\dfrac{5}{9}+\dfrac{13}{18}\right)\)

\(=\dfrac{3}{11}\cdot\dfrac{3}{18}=\dfrac{3}{11}\cdot\dfrac{1}{6}=\dfrac{1}{22}\)

c: \(\left(\dfrac{2}{1}\cdot\dfrac{9}{17}\cdot\dfrac{3}{32}\right):\dfrac{-3}{17}\)

\(=\dfrac{18}{17}\cdot\dfrac{3}{32}\cdot\dfrac{17}{-3}\)

\(=-\dfrac{18}{32}=-\dfrac{9}{16}\)