Question

Simplify step by step 1/3+6(2/3−1/6)2

Answer 1

`(1)/(3) +6((2)/(3) - (1)/(6))^2`

first we simplify the parenthesis

To simplify the fractions inside the parenthesis , we make the denominators same

`(1)/(3) +6((2*2)/(3*2) - (1)/(6))^2`

`(1)/(3) +6((4)/(6) - (1)/(6))^2`

`(1)/(3) +6((3)/(6))^2`

Simplify the fraction 3/6

`(1)/(3) +6((1)/(2))^2`

Now we square 1/2

`(1)/(3) +6((1)/(4))`

Multiply 6 inside the parenthesis

`(1)/(3) +(6)/(4)`

`(1)/(3) +(3)/(2)`

Now make the denominators same to add fractions

`(1*2)/(3*2) +(3*3)/(2*3)`

`(2)/(6) +(9)/(6)`

`(11)/(6)`

Answer 2

To solve this problem you must apply the proccedure shown below:

1- Solve the substraction in the parenthesis and square it:

`(1)/(3)+6((1)/(2))^2\\(1)/(3)+6((1)/(4))`

2- Apply the distributive property and solve the addition:

`(1)/(3)+(6)/(4)\=(11)/(6)`

The answer is:
`(11)/(6)`