Evaluate 8*2-4÷2+6

$8 \cdot 2 - 4 \div 2 + 6$

Step 1

Find the common denominator.

Write $8 \cdot 2$ as a fraction with denominator $1$ .

$\frac{8 \cdot 2}{1} - 4 \div 2 + 6$

Multiply $\frac{8 \cdot 2}{1}$ by $\frac{2}{2}$ .

$\frac{8 \cdot 2}{1} \cdot \frac{2}{2} - 4 \div 2 + 6$

Multiply $\frac{8 \cdot 2}{1}$ by $\frac{2}{2}$ .

$\frac{8 \cdot 2 \cdot 2}{2} - 4 \div 2 + 6$

Write $6$ as a fraction with denominator $1$ .

$\frac{8 \cdot 2 \cdot 2}{2} - 4 \div 2 + \frac{6}{1}$

Multiply $\frac{6}{1}$ by $\frac{2}{2}$ .

$\frac{8 \cdot 2 \cdot 2}{2} - 4 \div 2 + \frac{6}{1} \cdot \frac{2}{2}$

Multiply $\frac{6}{1}$ by $\frac{2}{2}$ .

$\frac{8 \cdot 2 \cdot 2}{2} - 4 \div 2 + \frac{6 \cdot 2}{2}$

Step 2

Combine the numerators over the common denominator.

$\frac{8 \cdot 2 \cdot 2 - 4 + 6 \cdot 2}{2}$

Step 3

Simplify each term.

Multiply $8 \cdot 2 \cdot 2$ .

Multiply $8$ by $2$ .

$\frac{16 \cdot 2 - 4 + 6 \cdot 2}{2}$

Multiply $16$ by $2$ .

$\frac{32 - 4 + 6 \cdot 2}{2}$

Multiply $6$ by $2$ .

$\frac{32 - 4 + 12}{2}$

Step 4

Simplify the expression.

Subtract $4$ from $32$ .

$\frac{28 + 12}{2}$

Add $28$ and $12$ .

$\frac{40}{2}$

Divide $40$ by $2$ .

$20$