Simplify 12(1/4+2/3r)

$12 (\frac{1}{4} + \frac{2}{3} r)$

Step 1

Combine $\frac{2}{3}$ and $r$ .

$12 (\frac{1}{4} + \frac{2 r}{3})$

Step 2

Apply the distributive property.

$12 (\frac{1}{4}) + 12 \frac{2 r}{3}$

Step 3

Cancel the common factor of $4$ .

Factor $4$ out of $12$ .

$4 (3) \frac{1}{4} + 12 \frac{2 r}{3}$

Cancel the common factor.

$4 \cdot 3 \frac{1}{4} + 12 \frac{2 r}{3}$

Rewrite the expression.

$3 + 12 \frac{2 r}{3}$

$3 + 12 \frac{2 r}{3}$

Step 4

Cancel the common factor of $3$ .

Factor $3$ out of $12$ .

$3 + 3 (4) \frac{2 r}{3}$

Cancel the common factor.

$3 + 3 \cdot 4 \frac{2 r}{3}$

Rewrite the expression.

$3 + 4 (2 r)$

$3 + 4 (2 r)$

Step 5

Multiply $2$ by $4$ .

$3 + 8 r$

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