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

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

Step 1

Simplify each term.

Raise $- 4$ to the power of $2$ .

$\frac{1}{3} \cdot 16 - 5$

Combine $\frac{1}{3}$ and $16$ .

$\frac{16}{3} - 5$

Step 2

To write $- 5$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{16}{3} - 5 \cdot \frac{3}{3}$

Step 3

Combine $- 5$ and $\frac{3}{3}$ .

$\frac{16}{3} + \frac{- 5 \cdot 3}{3}$

Step 4

Combine the numerators over the common denominator.

$\frac{16 - 5 \cdot 3}{3}$

Step 5

Simplify the numerator.

Multiply $- 5$ by $3$ .

$\frac{16 - 15}{3}$

Subtract $15$ from $16$ .

$\frac{1}{3}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{3}$

Decimal Form:

$0.\overline{3}$