Pre-Algebra Examples

$\frac{2}{5} \cdot (15 x - 10)$

Step 1

Apply the distributive property.

$\frac{2}{5} (15 x) + \frac{2}{5} \cdot - 10$

Step 2

Cancel the common factor of $5$ .

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Step 2.1

Factor $5$ out of $15 x$ .

$\frac{2}{5} (5 (3 x)) + \frac{2}{5} \cdot - 10$

Step 2.2

Cancel the common factor.

$\frac{2}{5} (5 (3 x)) + \frac{2}{5} \cdot - 10$

Step 2.3

Rewrite the expression.

$2 (3 x) + \frac{2}{5} \cdot - 10$

$2 (3 x) + \frac{2}{5} \cdot - 10$

Step 3

Multiply $3$ by $2$ .

$6 x + \frac{2}{5} \cdot - 10$

Step 4

Cancel the common factor of $5$ .

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Step 4.1

Factor $5$ out of $- 10$ .

$6 x + \frac{2}{5} \cdot (5 (- 2))$

Step 4.2

Cancel the common factor.

$6 x + \frac{2}{5} \cdot (5 \cdot - 2)$

Step 4.3

Rewrite the expression.

$6 x + 2 \cdot - 2$

$6 x + 2 \cdot - 2$

Step 5

Multiply $2$ by $- 2$ .

$6 x - 4$

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