Question

Simplify step by step 1/3+6(2/3−1/6)2

Answer 1

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

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

$\frac{1}{3}+6(\frac{1}{2})^2\\\frac{1}{3}+6(\frac{1}{4})$

 2- Apply the distributive property and solve the addition:

$\frac{1}{3}+\frac{6}{4}\=\frac{11}{6}$

The answer is: $\frac{11}{6}$

Answer 2

$\frac{1}{3} +6(\frac{2}{3} - \frac{1}{6})^2$

first we simplify the parenthesis

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

$\frac{1}{3} +6(\frac{2*2}{3*2} - \frac{1}{6})^2$

$\frac{1}{3} +6(\frac{4}{6} - \frac{1}{6})^2$

$\frac{1}{3} +6(\frac{3}{6})^2$

Simplify the fraction 3/6

$\frac{1}{3} +6(\frac{1}{2})^2$

Now we square 1/2

$\frac{1}{3} +6(\frac{1}{4})$

Multiply 6 inside the parenthesis

$\frac{1}{3} +\frac{6}{4}$

$\frac{1}{3} +\frac{3}{2}$

Now make the denominators same to add fractions

$\frac{1*2}{3*2} +\frac{3*3}{2*3}$

$\frac{2}{6} +\frac{9}{6}$

$\frac{11}{6}$