Basic Math Examples

$8 + 4.83 \div 0.3 - {0.8}^{2}$

Step 1

Find the common denominator.

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Step 1.1

Write $8$ as a fraction with denominator $1$ .

$\frac{8}{1} + 4.83 \div 0.3 - {0.8}^{2}$

Step 1.2

Multiply $\frac{8}{1}$ by $\frac{3}{3}$ .

$\frac{8}{1} \cdot \frac{3}{3} + 4.83 \div 0.3 - {0.8}^{2}$

Step 1.3

Multiply $\frac{8}{1}$ by $\frac{3}{3}$ .

$\frac{8 \cdot 3}{3} + 4.83 \div 0.3 - {0.8}^{2}$

Step 1.4

Multiply $4.83 \div 0.3$ by $\frac{\frac{3}{0.3}}{\frac{3}{0.3}}$ .

$\frac{8 \cdot 3}{3} + 4.83 \div 0.3 \cdot \frac{\frac{3}{0.3}}{\frac{3}{0.3}} - {0.8}^{2}$

Step 1.5

Multiply $4.83 \div 0.3$ by $\frac{\frac{3}{0.3}}{\frac{3}{0.3}}$ .

$\frac{8 \cdot 3}{3} + \frac{4.83 (\frac{3}{0.3})}{0.3 (\frac{3}{0.3})} - {0.8}^{2}$

Step 1.6

Write $- {0.8}^{2}$ as a fraction with denominator $1$ .

$\frac{8 \cdot 3}{3} + \frac{4.83 (\frac{3}{0.3})}{0.3 (\frac{3}{0.3})} + \frac{- {0.8}^{2}}{1}$

Step 1.7

Multiply $\frac{- {0.8}^{2}}{1}$ by $\frac{3}{3}$ .

$\frac{8 \cdot 3}{3} + \frac{4.83 (\frac{3}{0.3})}{0.3 (\frac{3}{0.3})} + \frac{- {0.8}^{2}}{1} \cdot \frac{3}{3}$

Step 1.8

Multiply $\frac{- {0.8}^{2}}{1}$ by $\frac{3}{3}$ .

$\frac{8 \cdot 3}{3} + \frac{4.83 (\frac{3}{0.3})}{0.3 (\frac{3}{0.3})} + \frac{- {0.8}^{2} \cdot 3}{3}$

Step 1.9

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

$\frac{8 \cdot 3}{3} + \frac{4.83 (\frac{3}{0.3})}{\frac{0.3 \cdot 3}{0.3}} + \frac{- {0.8}^{2} \cdot 3}{3}$

Step 1.10

Multiply $0.3$ by $3$ .

$\frac{8 \cdot 3}{3} + \frac{4.83 (\frac{3}{0.3})}{\frac{0.9}{0.3}} + \frac{- {0.8}^{2} \cdot 3}{3}$

Step 2

Combine the numerators over the common denominator.

$\frac{8 \cdot 3 - {0.8}^{2} \cdot 3}{3} + \frac{4.83 (\frac{3}{0.3})}{\frac{0.9}{0.3}}$

Step 3

Simplify each term.

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Step 3.1

Multiply $8$ by $3$ .

$\frac{24 - {0.8}^{2} \cdot 3}{3} + \frac{4.83 (\frac{3}{0.3})}{\frac{0.9}{0.3}}$

Step 3.2

Raise $0.8$ to the power of $2$ .

$\frac{24 - 1 \cdot 0.64 \cdot 3}{3} + \frac{4.83 (\frac{3}{0.3})}{\frac{0.9}{0.3}}$

Step 3.3

Multiply $- 1 \cdot 0.64 \cdot 3$ .

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Step 3.3.1

Multiply $- 1$ by $0.64$ .

$\frac{24 - 0.64 \cdot 3}{3} + \frac{4.83 (\frac{3}{0.3})}{\frac{0.9}{0.3}}$

Step 3.3.2

Multiply $- 0.64$ by $3$ .

$\frac{24 - 1.92}{3} + \frac{4.83 (\frac{3}{0.3})}{\frac{0.9}{0.3}}$

Step 4

Subtract $1.92$ from $24$ .

$\frac{22.08}{3} + \frac{4.83 (\frac{3}{0.3})}{\frac{0.9}{0.3}}$

Step 5

Simplify each term.

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Step 5.1

Divide $22.08$ by $3$ .

$7.36 + \frac{4.83 (\frac{3}{0.3})}{\frac{0.9}{0.3}}$

Step 5.2

Multiply the numerator by the reciprocal of the denominator.

$7.36 + 4.83 (\frac{3}{0.3}) \frac{0.3}{0.9}$

Step 5.3

Divide $3$ by $0.3$ .

$7.36 + 4.83 \cdot 10 \frac{0.3}{0.9}$

Step 5.4

Multiply $4.83$ by $10$ .

$7.36 + 48.3 (\frac{0.3}{0.9})$

Step 5.5

Divide $0.3$ by $0.9$ .

$7.36 + 48.3 \cdot 0.\overline{3}$

Step 5.6

Multiply $48.3$ by $0.\overline{3}$ .

$7.36 + 16.0\overline{9}$

Step 6

Add $7.36$ and $16.0\overline{9}$ .

$23.45\overline{9}$