Evaluate 9/3+2*6+5

$\frac{9}{3} + 2 \cdot 6 + 5$

Step 1

Find the common denominator.

Write $2 \cdot 6$ as a fraction with denominator $1$ .

$\frac{9}{3} + \frac{2 \cdot 6}{1} + 5$

Multiply $\frac{2 \cdot 6}{1}$ by $\frac{3}{3}$ .

$\frac{9}{3} + \frac{2 \cdot 6}{1} \cdot \frac{3}{3} + 5$

Multiply $\frac{2 \cdot 6}{1}$ by $\frac{3}{3}$ .

$\frac{9}{3} + \frac{2 \cdot 6 \cdot 3}{3} + 5$

Write $5$ as a fraction with denominator $1$ .

$\frac{9}{3} + \frac{2 \cdot 6 \cdot 3}{3} + \frac{5}{1}$

Multiply $\frac{5}{1}$ by $\frac{3}{3}$ .

$\frac{9}{3} + \frac{2 \cdot 6 \cdot 3}{3} + \frac{5}{1} \cdot \frac{3}{3}$

Multiply $\frac{5}{1}$ by $\frac{3}{3}$ .

$\frac{9}{3} + \frac{2 \cdot 6 \cdot 3}{3} + \frac{5 \cdot 3}{3}$

Step 2

Combine the numerators over the common denominator.

$\frac{9 + 2 \cdot 6 \cdot 3 + 5 \cdot 3}{3}$

Step 3

Simplify each term.

Multiply $2 \cdot 6 \cdot 3$ .

Multiply $2$ by $6$ .

$\frac{9 + 12 \cdot 3 + 5 \cdot 3}{3}$

Multiply $12$ by $3$ .

$\frac{9 + 36 + 5 \cdot 3}{3}$

Multiply $5$ by $3$ .

$\frac{9 + 36 + 15}{3}$

Step 4

Simplify the expression.

Add $9$ and $36$ .

$\frac{45 + 15}{3}$

Add $45$ and $15$ .

$\frac{60}{3}$

Divide $60$ by $3$ .

$20$