Evaluate 38+(1612)÷2-(302)

$38 + 16 \cdot 12 \div 2 - (30 \cdot 2)$

Step 1

Multiply $16$ by $12$ .

$38 + 192 \div 2 - (30 \cdot 2)$

Step 2

Find the common denominator.

Write $38$ as a fraction with denominator $1$ .

$\frac{38}{1} + 192 \div 2 - (30 \cdot 2)$

Multiply $\frac{38}{1}$ by $\frac{2}{2}$ .

$\frac{38}{1} \cdot \frac{2}{2} + 192 \div 2 - (30 \cdot 2)$

Multiply $\frac{38}{1}$ by $\frac{2}{2}$ .

$\frac{38 \cdot 2}{2} + 192 \div 2 - (30 \cdot 2)$

Write $- (30 \cdot 2)$ as a fraction with denominator $1$ .

$\frac{38 \cdot 2}{2} + 192 \div 2 + \frac{- (30 \cdot 2)}{1}$

Multiply $\frac{- (30 \cdot 2)}{1}$ by $\frac{2}{2}$ .

$\frac{38 \cdot 2}{2} + 192 \div 2 + \frac{- (30 \cdot 2)}{1} \cdot \frac{2}{2}$

Multiply $\frac{- (30 \cdot 2)}{1}$ by $\frac{2}{2}$ .

$\frac{38 \cdot 2}{2} + 192 \div 2 + \frac{- (30 \cdot 2) \cdot 2}{2}$

Step 3

Combine the numerators over the common denominator.

$\frac{38 \cdot 2 + 192 - (30 \cdot 2) \cdot 2}{2}$

Step 4

Simplify each term.

Multiply $38$ by $2$ .

$\frac{76 + 192 - (30 \cdot 2) \cdot 2}{2}$

Multiply $- (30 \cdot 2) \cdot 2$ .

Multiply $30$ by $2$ .

$\frac{76 + 192 - 1 \cdot 60 \cdot 2}{2}$

Multiply $- 1$ by $60$ .

$\frac{76 + 192 - 60 \cdot 2}{2}$

Multiply $- 60$ by $2$ .

$\frac{76 + 192 - 120}{2}$

Step 5

Simplify the expression.

Add $76$ and $192$ .

$\frac{268 - 120}{2}$

Subtract $120$ from $268$ .

$\frac{148}{2}$

Divide $148$ by $2$ .

$74$

Evaluate 38+(16*12)÷2-(30*2)