Algebra Examples

$\frac{9}{x} - \frac{5}{3 x}$

Step 1

To write $\frac{9}{x}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{9}{x} \cdot \frac{3}{3} - \frac{5}{3 x}$

Step 2

Write each expression with a common denominator of $x \cdot 3$ , by multiplying each by an appropriate factor of $1$ .

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Step 2.1

Multiply $\frac{9}{x}$ by $\frac{3}{3}$ .

$\frac{9 \cdot 3}{x \cdot 3} - \frac{5}{3 x}$

Step 2.2

Move $3$ to the left of $x$ .

$\frac{9 \cdot 3}{3 x} - \frac{5}{3 x}$

Step 3

Combine the numerators over the common denominator.

$\frac{9 \cdot 3 - 5}{3 x}$

Step 4

Simplify the numerator.

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Step 4.1

Multiply $9$ by $3$ .

$\frac{27 - 5}{3 x}$

Step 4.2

Subtract $5$ from $27$ .

$\frac{22}{3 x}$