Question

Simplify.

1/2+(3/8−1/8)^2



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

Answer 1

`(9)/(16)`

Explanation:

`(3)/(8)- (1)/(8)= (3-1)/(8)= (2)/(8)= (1)/(4)\\\\\\ ((3)/(8)- (1)/(8))^(2)=((1)/(4))^(2)=(1)/(16)\\\\\\(1)/(2)+((3)/(8)-(1)/(8))^(2) = (1)/(2)+(1)/(16)\\\\\\=(1*8)/(2*8)+(1)/(16)\\\\\\=(8)/(16)+(1)/(16)\\\\\\=(9)/(16)`