Evaluate Using the Given Value f(2)=2/3(2)+5

$f (2) = \frac{2}{3} (2) + 5$

Step 1

Multiply $\frac{2}{3} (2)$ .

Combine $\frac{2}{3}$ and $2$ .

$f (2) = \frac{2 \cdot 2}{3} + 5$

Multiply $2$ by $2$ .

$f (2) = \frac{4}{3} + 5$

Step 2

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

$f (2) = \frac{4}{3} + 5 \cdot \frac{3}{3}$

Step 3

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

$f (2) = \frac{4}{3} + \frac{5 \cdot 3}{3}$

Step 4

Combine the numerators over the common denominator.

$f (2) = \frac{4 + 5 \cdot 3}{3}$

Step 5

Simplify the numerator.

Multiply $5$ by $3$ .

$f (2) = \frac{4 + 15}{3}$

Add $4$ and $15$ .

$f (2) = \frac{19}{3}$