Evaluate (3^2)÷3+2^2*7-20÷5

$3^{2} \div 3 + 2^{2} \cdot 7 - 20 \div 5$

Find the common denominator.

Multiply $3^{2} \div 3$ by $\frac{5}{5}$ .

$3^{2} \div 3 \cdot \frac{5}{5} + 2^{2} \cdot 7 - 20 \div 5$

Multiply $3^{2} \div 3$ by $\frac{5}{5}$ .

$\frac{3^{2} \cdot 5}{3 \cdot 5} + 2^{2} \cdot 7 - 20 \div 5$

Write $2^{2} \cdot 7$ as a fraction with denominator $1$ .

$\frac{3^{2} \cdot 5}{3 \cdot 5} + \frac{2^{2} \cdot 7}{1} - 20 \div 5$

Multiply $\frac{2^{2} \cdot 7}{1}$ by $\frac{15}{15}$ .

$\frac{3^{2} \cdot 5}{3 \cdot 5} + \frac{2^{2} \cdot 7}{1} \cdot \frac{15}{15} - 20 \div 5$

Multiply $\frac{2^{2} \cdot 7}{1}$ by $\frac{15}{15}$ .

$\frac{3^{2} \cdot 5}{3 \cdot 5} + \frac{2^{2} \cdot 7 \cdot 15}{15} - 20 \div 5$

Multiply $20 \div 5$ by $\frac{3}{3}$ .

$\frac{3^{2} \cdot 5}{3 \cdot 5} + \frac{2^{2} \cdot 7 \cdot 15}{15} - (20 \div 5 \cdot \frac{3}{3})$

Multiply $20 \div 5$ by $\frac{3}{3}$ .

$\frac{3^{2} \cdot 5}{3 \cdot 5} + \frac{2^{2} \cdot 7 \cdot 15}{15} - \frac{20 \cdot 3}{5 \cdot 3}$

Multiply $3$ by $5$ .

$\frac{3^{2} \cdot 5}{15} + \frac{2^{2} \cdot 7 \cdot 15}{15} - \frac{20 \cdot 3}{5 \cdot 3}$

Reorder the factors of $5 \cdot 3$ .

$\frac{3^{2} \cdot 5}{15} + \frac{2^{2} \cdot 7 \cdot 15}{15} - \frac{20 \cdot 3}{3 \cdot 5}$

Multiply $3$ by $5$ .

$\frac{3^{2} \cdot 5}{15} + \frac{2^{2} \cdot 7 \cdot 15}{15} - \frac{20 \cdot 3}{15}$

Combine the numerators over the common denominator.

$\frac{3^{2} \cdot 5 + 2^{2} \cdot 7 \cdot 15 - 20 \cdot 3}{15}$

Simplify each term.

Raise $3$ to the power of $2$ .

$\frac{9 \cdot 5 + 2^{2} \cdot 7 \cdot 15 - 20 \cdot 3}{15}$

Multiply $9$ by $5$ .

$\frac{45 + 2^{2} \cdot 7 \cdot 15 - 20 \cdot 3}{15}$

Raise $2$ to the power of $2$ .

$\frac{45 + 4 \cdot 7 \cdot 15 - 20 \cdot 3}{15}$

Multiply $4$ by $7$ .

$\frac{45 + 28 \cdot 15 - 20 \cdot 3}{15}$

Multiply $28$ by $15$ .

$\frac{45 + 420 - 20 \cdot 3}{15}$

Multiply $- 20$ by $3$ .

$\frac{45 + 420 - 60}{15}$

Simplify the expression.

Add $45$ and $420$ .

$\frac{465 - 60}{15}$

Subtract $60$ from $465$ .

$\frac{405}{15}$

Divide $405$ by $15$ .

$27$