Question

Simplify.

1/2+(3/8−1/8)^2



Enter your answer, as a simplified fraction, in the box.
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Answer 1

1/2+(3/8−1/8)^2

= 1/2+(2/8)^2

= 1/2+(1/4)^2

= 1/2 + 1/16

= 8/16 + 1/16

= 9/16

Answer

9/16

Answer 2

`(9)/(16)` will be the answer.

Explanation:

The given expression in the question is
`(1)/(2)+((3)/(8)-(1)/(8))^(2)`

We will solve the parenthesis first.

`((3)/(8)-(1)/(8))=((3-1))/(8)`

`=(2)/(8)`

`=(1)/(4)`

Now the expression becomes
`(1)/(2)+((1)/(4))^(2)`

We further solve this expression

`(1)/(2)+((1)/(4))^(2)` =
`((8+1))/(16)`

`=(9)/(16)`

Answer will be
`(9)/(16)`