Question

Simplify

1/4 (1-2/3)^2+1/3

Answer 1

in exact form: 13/36

in decimal form: 0.36111111...

Answer 2

`(1)/(4) * (1-2/3)^(2) + (1)/(3)`

=
`(1)/(4) * ( 1 - (4)/(3) + (4)/(9) ) + (1)/(3)`

=
`(1)/(4) - (1)/(3) + (1)/(9) + (1)/(3)`

=
`(1)/(4) + (1)/(9)`

=
`(9 + 4)/(9 * 4)`

=
`(13)/(36)`