Algebra Examples

$\frac{9}{x} - \frac{3}{8 x}$

Step 1

To write $\frac{9}{x}$ as a fraction with a common denominator, multiply by $\frac{8}{8}$ .

$\frac{9}{x} \cdot \frac{8}{8} - \frac{3}{8 x}$

Step 2

Write each expression with a common denominator of $x \cdot 8$ , by multiplying each by an appropriate factor of $1$ .

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Step 2.1

Multiply $\frac{9}{x}$ by $\frac{8}{8}$ .

$\frac{9 \cdot 8}{x \cdot 8} - \frac{3}{8 x}$

Step 2.2

Move $8$ to the left of $x$ .

$\frac{9 \cdot 8}{8 x} - \frac{3}{8 x}$

Step 3

Combine the numerators over the common denominator.

$\frac{9 \cdot 8 - 3}{8 x}$

Step 4

Simplify the numerator.

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Step 4.1

Multiply $9$ by $8$ .

$\frac{72 - 3}{8 x}$

Step 4.2

Subtract $3$ from $72$ .

$\frac{69}{8 x}$