Algebra Examples

$\frac{3}{x} + \frac{1}{x y z} + \frac{2}{x y}$

Step 1

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

$\frac{3}{x} \cdot \frac{y z}{y z} + \frac{1}{x y z} + \frac{2}{x y}$

Step 2

Multiply $\frac{3}{x}$ by $\frac{y z}{y z}$ .

$\frac{3 (y z)}{x y z} + \frac{1}{x y z} + \frac{2}{x y}$

Step 3

Combine the numerators over the common denominator.

$\frac{3 (y z) + 1}{x y z} + \frac{2}{x y}$

Step 4

To write $\frac{2}{x y}$ as a fraction with a common denominator, multiply by $\frac{z}{z}$ .

$\frac{3 y z + 1}{x y z} + \frac{2}{x y} \cdot \frac{z}{z}$

Step 5

Multiply $\frac{2}{x y}$ by $\frac{z}{z}$ .

$\frac{3 y z + 1}{x y z} + \frac{2 z}{x y z}$

Step 6

Combine the numerators over the common denominator.

$\frac{3 y z + 1 + 2 z}{x y z}$