Simplify 3÷0.3+(1.2)*4-(0.2)^2

$3 \div 0.3 + (1.2) \cdot 4 - {(0.2)}^{2}$

Find the common denominator.

Multiply $3 \div 0.3$ by $\frac{\frac{3}{0.3}}{\frac{3}{0.3}}$ .

$3 \div 0.3 \cdot \frac{\frac{3}{0.3}}{\frac{3}{0.3}} + (1.2) \cdot 4 - {(0.2)}^{2}$

Multiply $3 \div 0.3$ by $\frac{\frac{3}{0.3}}{\frac{3}{0.3}}$ .

$\frac{3 (\frac{3}{0.3})}{0.3 (\frac{3}{0.3})} + (1.2) \cdot 4 - {(0.2)}^{2}$

Write $(1.2) \cdot 4$ as a fraction with denominator $1$ .

$\frac{3 (\frac{3}{0.3})}{0.3 (\frac{3}{0.3})} + \frac{(1.2) \cdot 4}{1} - {(0.2)}^{2}$

Multiply $\frac{(1.2) \cdot 4}{1}$ by $\frac{3}{3}$ .

$\frac{3 (\frac{3}{0.3})}{0.3 (\frac{3}{0.3})} + \frac{(1.2) \cdot 4}{1} \cdot \frac{3}{3} - {(0.2)}^{2}$

Multiply $\frac{(1.2) \cdot 4}{1}$ by $\frac{3}{3}$ .

$\frac{3 (\frac{3}{0.3})}{0.3 (\frac{3}{0.3})} + \frac{(1.2) \cdot 4 \cdot 3}{3} - {(0.2)}^{2}$

Write $- {(0.2)}^{2}$ as a fraction with denominator $1$ .

$\frac{3 (\frac{3}{0.3})}{0.3 (\frac{3}{0.3})} + \frac{(1.2) \cdot 4 \cdot 3}{3} + \frac{- {(0.2)}^{2}}{1}$

Multiply $\frac{- {(0.2)}^{2}}{1}$ by $\frac{3}{3}$ .

$\frac{3 (\frac{3}{0.3})}{0.3 (\frac{3}{0.3})} + \frac{(1.2) \cdot 4 \cdot 3}{3} + \frac{- {(0.2)}^{2}}{1} \cdot \frac{3}{3}$

Multiply $\frac{- {(0.2)}^{2}}{1}$ by $\frac{3}{3}$ .

$\frac{3 (\frac{3}{0.3})}{0.3 (\frac{3}{0.3})} + \frac{(1.2) \cdot 4 \cdot 3}{3} + \frac{- {(0.2)}^{2} \cdot 3}{3}$

Combine $0.3$ and $\frac{3}{0.3}$ .

$\frac{3 (\frac{3}{0.3})}{\frac{0.3 \cdot 3}{0.3}} + \frac{(1.2) \cdot 4 \cdot 3}{3} + \frac{- {(0.2)}^{2} \cdot 3}{3}$

Multiply $0.3$ by $3$ .

$\frac{3 (\frac{3}{0.3})}{\frac{0.9}{0.3}} + \frac{(1.2) \cdot 4 \cdot 3}{3} + \frac{- {(0.2)}^{2} \cdot 3}{3}$

Combine the numerators over the common denominator.

$\frac{3 (\frac{3}{0.3})}{\frac{0.9}{0.3}} + \frac{(1.2) \cdot 4 \cdot 3 - {(0.2)}^{2} \cdot 3}{3}$

Simplify each term.

Multiply $1.2$ by $4$ .

$\frac{3 (\frac{3}{0.3})}{\frac{0.9}{0.3}} + \frac{4.8 \cdot 3 - {(0.2)}^{2} \cdot 3}{3}$

Multiply $4.8$ by $3$ .

$\frac{3 (\frac{3}{0.3})}{\frac{0.9}{0.3}} + \frac{14.4 - {(0.2)}^{2} \cdot 3}{3}$

Raise $0.2$ to the power of $2$ .

$\frac{3 (\frac{3}{0.3})}{\frac{0.9}{0.3}} + \frac{14.4 - 1 \cdot 0.04 \cdot 3}{3}$

Multiply $- 1$ by $0.04$ .

$\frac{3 (\frac{3}{0.3})}{\frac{0.9}{0.3}} + \frac{14.4 - 0.04 \cdot 3}{3}$

Multiply $- 0.04$ by $3$ .

$\frac{3 (\frac{3}{0.3})}{\frac{0.9}{0.3}} + \frac{14.4 - 0.12}{3}$

Subtract $0.12$ from $14.4$ .

$\frac{3 (\frac{3}{0.3})}{\frac{0.9}{0.3}} + \frac{14.28}{3}$

Simplify each term.

Multiply the numerator by the reciprocal of the denominator.

$3 (\frac{3}{0.3}) \frac{0.3}{0.9} + \frac{14.28}{3}$

Cancel the common factor of $0.3$ .

Factor $0.3$ out of $3$ .

$0.3 (10) \frac{3}{0.3} \frac{0.3}{0.9} + \frac{14.28}{3}$

Cancel the common factor.

$0.3 \cdot 10 \frac{3}{0.3} \frac{0.3}{0.9} + \frac{14.28}{3}$

Rewrite the expression.

$10 \cdot 3 \frac{0.3}{0.9} + \frac{14.28}{3}$

Multiply $10$ by $3$ .

$30 (\frac{0.3}{0.9}) + \frac{14.28}{3}$

Divide $0.3$ by $0.9$ .

$30 \cdot 0.\overline{3} + \frac{14.28}{3}$

Multiply $30$ by $0.\overline{3}$ .

$10 + \frac{14.28}{3}$

Divide $14.28$ by $3$ .

$10 + 4.76$

Add $10$ and $4.76$ .

$14.75\overline{9}$

Simplify 3÷0.3+(1.2)*4-(0.2)^2

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