Solve z/3y+y

$$\frac { z } { 3 } y + y$$

Evaluate

$$\frac{yz}{3}+y$$

Solution Steps

Express \frac{z}{3}y as a single fraction.

$$\frac{zy}{3}+y$$

To add or subtract expressions, expand them to make their denominators the same. Multiply y times \frac{3}{3}.

$$\frac{zy}{3}+\frac{3y}{3}$$

Since \frac{zy}{3} and \frac{3y}{3} have the same denominator, add them by adding their numerators.

$$\frac{zy+3y}{3}$$

Factor

$$\frac{y\left(z+3\right)}{3}$$

Solution Steps

Factor out \frac{1}{3}.

$$\frac{zy+3y}{3}$$

Consider zy+3y. Factor out y.

$$y\left(z+3\right)$$

Rewrite the complete factored expression.

$$\frac{y\left(z+3\right)}{3}$$