Evaluate 2+(30-8÷4)

$2 + (30 - 8 \div 4)$

Step 1

Remove parentheses.

$2 + 30 - 8 \div 4$

Step 2

Find the common denominator.

Write $2$ as a fraction with denominator $1$ .

$\frac{2}{1} + 30 - 8 \div 4$

Multiply $\frac{2}{1}$ by $\frac{4}{4}$ .

$\frac{2}{1} \cdot \frac{4}{4} + 30 - 8 \div 4$

Multiply $\frac{2}{1}$ by $\frac{4}{4}$ .

$\frac{2 \cdot 4}{4} + 30 - 8 \div 4$

Write $30$ as a fraction with denominator $1$ .

$\frac{2 \cdot 4}{4} + \frac{30}{1} - 8 \div 4$

Multiply $\frac{30}{1}$ by $\frac{4}{4}$ .

$\frac{2 \cdot 4}{4} + \frac{30}{1} \cdot \frac{4}{4} - 8 \div 4$

Multiply $\frac{30}{1}$ by $\frac{4}{4}$ .

$\frac{2 \cdot 4}{4} + \frac{30 \cdot 4}{4} - 8 \div 4$

Step 3

Combine the numerators over the common denominator.

$\frac{2 \cdot 4 + 30 \cdot 4 - 8}{4}$

Step 4

Simplify each term.

Multiply $2$ by $4$ .

$\frac{8 + 30 \cdot 4 - 8}{4}$

Multiply $30$ by $4$ .

$\frac{8 + 120 - 8}{4}$

Step 5

Simplify the expression.

Add $8$ and $120$ .

$\frac{128 - 8}{4}$

Subtract $8$ from $128$ .

$\frac{120}{4}$

Divide $120$ by $4$ .

$30$