Evaluate 18+6-8÷2+3

$18 + 6 - 8 \div 2 + 3$

Step 1

Find the common denominator.

Write $18$ as a fraction with denominator $1$ .

$\frac{18}{1} + 6 - 8 \div 2 + 3$

Multiply $\frac{18}{1}$ by $\frac{2}{2}$ .

$\frac{18}{1} \cdot \frac{2}{2} + 6 - 8 \div 2 + 3$

Multiply $\frac{18}{1}$ by $\frac{2}{2}$ .

$\frac{18 \cdot 2}{2} + 6 - 8 \div 2 + 3$

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

$\frac{18 \cdot 2}{2} + \frac{6}{1} - 8 \div 2 + 3$

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

$\frac{18 \cdot 2}{2} + \frac{6}{1} \cdot \frac{2}{2} - 8 \div 2 + 3$

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

$\frac{18 \cdot 2}{2} + \frac{6 \cdot 2}{2} - 8 \div 2 + 3$

Write $3$ as a fraction with denominator $1$ .

$\frac{18 \cdot 2}{2} + \frac{6 \cdot 2}{2} - 8 \div 2 + \frac{3}{1}$

Multiply $\frac{3}{1}$ by $\frac{2}{2}$ .

$\frac{18 \cdot 2}{2} + \frac{6 \cdot 2}{2} - 8 \div 2 + \frac{3}{1} \cdot \frac{2}{2}$

Multiply $\frac{3}{1}$ by $\frac{2}{2}$ .

$\frac{18 \cdot 2}{2} + \frac{6 \cdot 2}{2} - 8 \div 2 + \frac{3 \cdot 2}{2}$

Step 2

Combine the numerators over the common denominator.

$\frac{18 \cdot 2 + 6 \cdot 2 - 8 + 3 \cdot 2}{2}$

Step 3

Simplify each term.

Multiply $18$ by $2$ .

$\frac{36 + 6 \cdot 2 - 8 + 3 \cdot 2}{2}$

Multiply $6$ by $2$ .

$\frac{36 + 12 - 8 + 3 \cdot 2}{2}$

Multiply $3$ by $2$ .

$\frac{36 + 12 - 8 + 6}{2}$

Step 4

Simplify the expression.

Add $36$ and $12$ .

$\frac{48 - 8 + 6}{2}$

Subtract $8$ from $48$ .

$\frac{40 + 6}{2}$

Add $40$ and $6$ .

$\frac{46}{2}$

Divide $46$ by $2$ .

$23$