Simplify 2/5(6-5p)

$\frac{2}{5} (6 - 5 p)$

Step 1

Apply the distributive property.

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

Step 2

Multiply $\frac{2}{5} \cdot 6$ .

Combine $\frac{2}{5}$ and $6$ .

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

Multiply $2$ by $6$ .

$\frac{12}{5} + \frac{2}{5} (- 5 p)$

$\frac{12}{5} + \frac{2}{5} (- 5 p)$

Step 3

Cancel the common factor of $5$ .

Factor $5$ out of $- 5 p$ .

$\frac{12}{5} + \frac{2}{5} (5 (- p))$

Cancel the common factor.

$\frac{12}{5} + \frac{2}{5} (5 (- p))$

Rewrite the expression.

$\frac{12}{5} + 2 (- p)$

$\frac{12}{5} + 2 (- p)$

Step 4

Multiply $- 1$ by $2$ .

$\frac{12}{5} - 2 p$

Related Questions