Simplify the expression: \left((1)/(2)\right)^(2)\cdot(9)/(11)+(2)/(3) Plz give steps.

Question

Simplify the expression:


`\left((1)/(2)\right)^(2)\cdot(9)/(11)+(2)/(3)`

Plz give steps.

Answer 1

`(115)/(132)`

Explanation:

`((1)/(2) )^(2) * (9)/(11) + (2)/(3)`

=
`(1)/(4) * (9)/(11) + (2)/(3)`

=
`(9)/(44) + (2)/(3)`

=
`(27 + 88)/(3(44))`

=
`(115)/(132)`