Evaluate (3+4)-4/(4-2)+(3(4+2))/3

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

Simplify the expression.

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Add $4$ and $2$ .

$(3 + 4) - \frac{4}{4 - 2} + \frac{3 \cdot 6}{3}$

Multiply $3$ by $6$ .

$(3 + 4) - \frac{4}{4 - 2} + \frac{18}{3}$

Simplify each term.

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Cancel the common factor of $4$ and $4 - 2$ .

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Factor $2$ out of $4$ .

$3 + 4 - \frac{2 (2)}{4 - 2} + \frac{18}{3}$

Cancel the common factors.

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Factor $2$ out of $4$ .

$3 + 4 - \frac{2 \cdot 2}{2 \cdot 2 - 2} + \frac{18}{3}$

Factor $2$ out of $- 2$ .

$3 + 4 - \frac{2 (2)}{2 \cdot 2 + 2 \cdot - 1} + \frac{18}{3}$

Factor $2$ out of $2 \cdot 2 + 2 \cdot - 1$ .

$3 + 4 - \frac{2 (2)}{2 \cdot (2 - 1)} + \frac{18}{3}$

Cancel the common factor.

$3 + 4 - \frac{2 \cdot 2}{2 \cdot (2 - 1)} + \frac{18}{3}$

Rewrite the expression.

$3 + 4 - \frac{2}{2 - 1} + \frac{18}{3}$

Subtract $1$ from $2$ .

$3 + 4 - \frac{2}{1} + \frac{18}{3}$

Divide $2$ by $1$ .

$3 + 4 - 1 \cdot 2 + \frac{18}{3}$

Multiply $- 1$ by $2$ .

$3 + 4 - 2 + \frac{18}{3}$

Divide $18$ by $3$ .

$3 + 4 - 2 + 6$

Simplify by adding and subtracting.

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Add $3$ and $4$ .

$7 - 2 + 6$

Subtract $2$ from $7$ .

$5 + 6$

Add $5$ and $6$ .

$11$

Evaluate (3+4)-4/(4-2)+(3(4+2))/3

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