Pre-Algebra Examples

$\frac{7}{9 x} + \frac{1}{3 x}$

Step 1

To write

$\frac{1}{3 x}$ as a fraction with a common denominator, multiply by

$\frac{3}{3}$ .

$\frac{7}{9 x} + \frac{1}{3 x} \cdot \frac{3}{3}$

Step 2

Write each expression with a common denominator of

$9 x$ , by multiplying each by an appropriate factor of

$1$ .

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Step 2.1

Multiply

$\frac{1}{3 x}$ by

$\frac{3}{3}$ .

$\frac{7}{9 x} + \frac{3}{3 x \cdot 3}$

Step 2.2

Multiply

$3$ by

$3$ .

$\frac{7}{9 x} + \frac{3}{9 x}$

Step 3

Combine the numerators over the common denominator.

$\frac{7 + 3}{9 x}$

Step 4

Add

$7$ and

$3$ .

$\frac{10}{9 x}$