Basic Math Examples

$6 \div 0.6 + 0.9 \cdot 9 - {0.4}^{2}$

Step 1

Find the common denominator.

Tap for more steps...

Step 1.1

Multiply $6 \div 0.6$ by $\frac{\frac{3}{0.6}}{\frac{3}{0.6}}$ .

$6 \div 0.6 \cdot \frac{\frac{3}{0.6}}{\frac{3}{0.6}} + 0.9 \cdot 9 - {0.4}^{2}$

Step 1.2

Multiply $6 \div 0.6$ by $\frac{\frac{3}{0.6}}{\frac{3}{0.6}}$ .

$\frac{6 (\frac{3}{0.6})}{0.6 (\frac{3}{0.6})} + 0.9 \cdot 9 - {0.4}^{2}$

Step 1.3

Write $0.9 \cdot 9$ as a fraction with denominator $1$ .

$\frac{6 (\frac{3}{0.6})}{0.6 (\frac{3}{0.6})} + \frac{0.9 \cdot 9}{1} - {0.4}^{2}$

Step 1.4

Multiply $\frac{0.9 \cdot 9}{1}$ by $\frac{3}{3}$ .

$\frac{6 (\frac{3}{0.6})}{0.6 (\frac{3}{0.6})} + \frac{0.9 \cdot 9}{1} \cdot \frac{3}{3} - {0.4}^{2}$

Step 1.5

Multiply $\frac{0.9 \cdot 9}{1}$ by $\frac{3}{3}$ .

$\frac{6 (\frac{3}{0.6})}{0.6 (\frac{3}{0.6})} + \frac{0.9 \cdot 9 \cdot 3}{3} - {0.4}^{2}$

Step 1.6

Write $- {0.4}^{2}$ as a fraction with denominator $1$ .

$\frac{6 (\frac{3}{0.6})}{0.6 (\frac{3}{0.6})} + \frac{0.9 \cdot 9 \cdot 3}{3} + \frac{- {0.4}^{2}}{1}$

Step 1.7

Multiply $\frac{- {0.4}^{2}}{1}$ by $\frac{3}{3}$ .

$\frac{6 (\frac{3}{0.6})}{0.6 (\frac{3}{0.6})} + \frac{0.9 \cdot 9 \cdot 3}{3} + \frac{- {0.4}^{2}}{1} \cdot \frac{3}{3}$

Step 1.8

Multiply $\frac{- {0.4}^{2}}{1}$ by $\frac{3}{3}$ .

$\frac{6 (\frac{3}{0.6})}{0.6 (\frac{3}{0.6})} + \frac{0.9 \cdot 9 \cdot 3}{3} + \frac{- {0.4}^{2} \cdot 3}{3}$

Step 1.9

Combine $0.6$ and $\frac{3}{0.6}$ .

$\frac{6 (\frac{3}{0.6})}{\frac{0.6 \cdot 3}{0.6}} + \frac{0.9 \cdot 9 \cdot 3}{3} + \frac{- {0.4}^{2} \cdot 3}{3}$

Step 1.10

Multiply $0.6$ by $3$ .

$\frac{6 (\frac{3}{0.6})}{\frac{1.8}{0.6}} + \frac{0.9 \cdot 9 \cdot 3}{3} + \frac{- {0.4}^{2} \cdot 3}{3}$

Step 2

Combine the numerators over the common denominator.

$\frac{6 (\frac{3}{0.6})}{\frac{1.8}{0.6}} + \frac{0.9 \cdot 9 \cdot 3 - {0.4}^{2} \cdot 3}{3}$

Step 3

Simplify each term.

Tap for more steps...

Step 3.1

Multiply $0.9 \cdot 9 \cdot 3$ .

Tap for more steps...

Step 3.1.1

Multiply $0.9$ by $9$ .

$\frac{6 (\frac{3}{0.6})}{\frac{1.8}{0.6}} + \frac{8.1 \cdot 3 - {0.4}^{2} \cdot 3}{3}$

Step 3.1.2

Multiply $8.1$ by $3$ .

$\frac{6 (\frac{3}{0.6})}{\frac{1.8}{0.6}} + \frac{24.3 - {0.4}^{2} \cdot 3}{3}$

Step 3.2

Raise $0.4$ to the power of $2$ .

$\frac{6 (\frac{3}{0.6})}{\frac{1.8}{0.6}} + \frac{24.3 - 1 \cdot 0.16 \cdot 3}{3}$

Step 3.3

Multiply $- 1 \cdot 0.16 \cdot 3$ .

Tap for more steps...

Step 3.3.1

Multiply $- 1$ by $0.16$ .

$\frac{6 (\frac{3}{0.6})}{\frac{1.8}{0.6}} + \frac{24.3 - 0.16 \cdot 3}{3}$

Step 3.3.2

Multiply $- 0.16$ by $3$ .

$\frac{6 (\frac{3}{0.6})}{\frac{1.8}{0.6}} + \frac{24.3 - 0.48}{3}$

Step 4

Subtract $0.48$ from $24.3$ .

$\frac{6 (\frac{3}{0.6})}{\frac{1.8}{0.6}} + \frac{23.82}{3}$

Step 5

Simplify each term.

Tap for more steps...

Step 5.1

Multiply the numerator by the reciprocal of the denominator.

$6 (\frac{3}{0.6}) \frac{0.6}{1.8} + \frac{23.82}{3}$

Step 5.2

Cancel the common factor of $0.6$ .

Tap for more steps...

Step 5.2.1

Factor $0.6$ out of $6$ .

$0.6 (10) \frac{3}{0.6} \frac{0.6}{1.8} + \frac{23.82}{3}$

Step 5.2.2

Cancel the common factor.

$0.6 \cdot 10 \frac{3}{0.6} \frac{0.6}{1.8} + \frac{23.82}{3}$

Step 5.2.3

Rewrite the expression.

$10 \cdot 3 \frac{0.6}{1.8} + \frac{23.82}{3}$

Step 5.3

Multiply $10$ by $3$ .

$30 (\frac{0.6}{1.8}) + \frac{23.82}{3}$

Step 5.4

Divide $0.6$ by $1.8$ .

$30 \cdot 0.\overline{3} + \frac{23.82}{3}$

Step 5.5

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

$10 + \frac{23.82}{3}$

Step 5.6

Divide $23.82$ by $3$ .

$10 + 7.94$

Step 6

Add $10$ and $7.94$ .

$17.93\overline{9}$