Simplify 7/3+3(2/3-1/3)^2

$\frac{7}{3} + 3 {(\frac{2}{3} - \frac{1}{3})}^{2}$

Simplify each term.

Combine the numerators over the common denominator.

$\frac{7}{3} + 3 {(\frac{2 - 1}{3})}^{2}$

Subtract $1$ from $2$ .

$\frac{7}{3} + 3 {(\frac{1}{3})}^{2}$

Apply the product rule to $\frac{1}{3}$ .

$\frac{7}{3} + 3 \frac{1^{2}}{3^{2}}$

One to any power is one.

$\frac{7}{3} + 3 \frac{1}{3^{2}}$

Raise $3$ to the power of $2$ .

$\frac{7}{3} + 3 (\frac{1}{9})$

Cancel the common factor of $3$ .

Factor $3$ out of $9$ .

$\frac{7}{3} + 3 \frac{1}{3 (3)}$

Cancel the common factor.

$\frac{7}{3} + 3 \frac{1}{3 \cdot 3}$

Rewrite the expression.

$\frac{7}{3} + \frac{1}{3}$

Combine fractions.

Combine the numerators over the common denominator.

$\frac{7 + 1}{3}$

Add $7$ and $1$ .

$\frac{8}{3}$

The result can be shown in multiple forms.

Exact Form:

$\frac{8}{3}$

Decimal Form:

$2.\overline{6}$

Mixed Number Form:

$2 \frac{2}{3}$