Question

Answer 1

a: =-7/2-2/5+2/3

=-105/30-12/30+20/30=-97/30

b: \(=\dfrac{15}{7}\left(\dfrac{49}{35}-\dfrac{27}{8}-\dfrac{2}{5}+\dfrac{27}{4}\right)\)

\(=\dfrac{15}{7}\left(1-\dfrac{27}{8}\right)=\dfrac{15}{7}\cdot\dfrac{-19}{8}=\dfrac{-285}{56}\)

c: \(=\dfrac{43}{5}\left(-\dfrac{17}{3}+\dfrac{16}{9}+2+\dfrac{17}{3}-\dfrac{16}{9}\right)=\dfrac{43}{5}\cdot2=\dfrac{86}{5}\)

d: \(=\dfrac{2}{5}-\dfrac{3}{2}\cdot\dfrac{-5}{12}=\dfrac{2}{5}+\dfrac{5}{8}=\dfrac{41}{40}\)

e: \(=58\left(3+\dfrac{1}{29}-2-\dfrac{1}{58}\right)\cdot\dfrac{1}{3}=\dfrac{59}{3}\)