Evaluate 1/3(-5)^2-4

$\frac{1}{3} {(- 5)}^{2} - 4$

Simplify each term.

Raise $- 5$ to the power of $2$ .

$\frac{1}{3} \cdot 25 - 4$

Combine $\frac{1}{3}$ and $25$ .

$\frac{25}{3} - 4$

To write $- 4$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{25}{3} - 4 \cdot \frac{3}{3}$

Combine $- 4$ and $\frac{3}{3}$ .

$\frac{25}{3} + \frac{- 4 \cdot 3}{3}$

Combine the numerators over the common denominator.

$\frac{25 - 4 \cdot 3}{3}$

Simplify the numerator.

Multiply $- 4$ by $3$ .

$\frac{25 - 12}{3}$

Subtract $12$ from $25$ .

$\frac{13}{3}$

The result can be shown in multiple forms.

Exact Form:

$\frac{13}{3}$

Decimal Form:

$4.\overline{3}$

Mixed Number Form:

$4 \frac{1}{3}$