Question

Answer 1

a: \(\frac{-5}{17}\cdot\frac{31}{33}+\frac{-5}{17}+1\frac{5}{17}\)

\(=-\frac{5}{17}\cdot\frac{31}{33}+\frac{-5}{17}+1+\frac{5}{17}=-\frac{155}{561}+1\)

\(=\frac{-155+561}{561}=\frac{406}{561}\)

b: \(\frac47+\frac37\cdot\left(-\frac23\right)=\frac47-\frac27=\frac27\)

c: \(\frac{9^3\cdot3^2}{3^9}\cdot2022=\frac{3^6\cdot3^2}{3^9}\cdot2022=\frac{2022}{3}=674\)

d: \(3-\left\lbrack-\frac{2020}{2021}\right\rbrack^0+\left(\frac12\right)^2\cdot16\)

\(=3-1+16\cdot\frac14\)

=2+4

=6