Pre-Algebra Examples

$\frac{6 x - 9}{5 x}$

Step 1

Factor $3$ out of $6 x - 9$ .

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Step 1.1

Factor $3$ out of $6 x$ .

$\frac{3 (2 x) - 9}{5 x}$

Step 1.2

Factor $3$ out of $- 9$ .

$\frac{3 (2 x) + 3 (- 3)}{5 x}$

Step 1.3

Factor $3$ out of $3 (2 x) + 3 (- 3)$ .

$\frac{3 (2 x - 3)}{5 x}$

$\frac{3 (2 x - 3)}{5 x}$

Step 2

Apply the distributive property.

$\frac{3 (2 x) + 3 \cdot - 3}{5 x}$

Step 3

Multiply $2$ by $3$ .

$\frac{6 x + 3 \cdot - 3}{5 x}$

Step 4

Multiply $3$ by $- 3$ .

$\frac{6 x - 9}{5 x}$

Step 5

Split the fraction $\frac{6 x - 9}{5 x}$ into two fractions.

$\frac{6 x}{5 x} + \frac{- 9}{5 x}$

Step 6

Cancel the common factor of $x$ .

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Step 6.1

Cancel the common factor.

$\frac{6 x}{5 x} + \frac{- 9}{5 x}$

Step 6.2

Rewrite the expression.

$\frac{6}{5} + \frac{- 9}{5 x}$

$\frac{6}{5} + \frac{- 9}{5 x}$

Step 7

Move the negative in front of the fraction.

$\frac{6}{5} - \frac{9}{5 x}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$