Basic Math Examples

$0.48 \div 1.6 + ({(1.2)}^{2} - 0.2 \cdot 0.2)$

Step 1

Remove parentheses.

$0.48 \div 1.6 + {(1.2)}^{2} - 0.2 \cdot 0.2$

Step 2

Find the common denominator.

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Step 2.1

Multiply $0.48 \div 1.6$ by $\frac{\frac{8}{1.6}}{\frac{8}{1.6}}$ .

$0.48 \div 1.6 \cdot \frac{\frac{8}{1.6}}{\frac{8}{1.6}} + {(1.2)}^{2} - 0.2 \cdot 0.2$

Step 2.2

Multiply $0.48 \div 1.6$ by $\frac{\frac{8}{1.6}}{\frac{8}{1.6}}$ .

$\frac{0.48 (\frac{8}{1.6})}{1.6 (\frac{8}{1.6})} + {(1.2)}^{2} - 0.2 \cdot 0.2$

Step 2.3

Write ${(1.2)}^{2}$ as a fraction with denominator $1$ .

$\frac{0.48 (\frac{8}{1.6})}{1.6 (\frac{8}{1.6})} + \frac{{(1.2)}^{2}}{1} - 0.2 \cdot 0.2$

Step 2.4

Multiply $\frac{{(1.2)}^{2}}{1}$ by $\frac{8}{8}$ .

$\frac{0.48 (\frac{8}{1.6})}{1.6 (\frac{8}{1.6})} + \frac{{(1.2)}^{2}}{1} \cdot \frac{8}{8} - 0.2 \cdot 0.2$

Step 2.5

Multiply $\frac{{(1.2)}^{2}}{1}$ by $\frac{8}{8}$ .

$\frac{0.48 (\frac{8}{1.6})}{1.6 (\frac{8}{1.6})} + \frac{{(1.2)}^{2} \cdot 8}{8} - 0.2 \cdot 0.2$

Step 2.6

Write $- 0.2 \cdot 0.2$ as a fraction with denominator $1$ .

$\frac{0.48 (\frac{8}{1.6})}{1.6 (\frac{8}{1.6})} + \frac{{(1.2)}^{2} \cdot 8}{8} + \frac{- 0.2 \cdot 0.2}{1}$

Step 2.7

Multiply $\frac{- 0.2 \cdot 0.2}{1}$ by $\frac{8}{8}$ .

$\frac{0.48 (\frac{8}{1.6})}{1.6 (\frac{8}{1.6})} + \frac{{(1.2)}^{2} \cdot 8}{8} + \frac{- 0.2 \cdot 0.2}{1} \cdot \frac{8}{8}$

Step 2.8

Multiply $\frac{- 0.2 \cdot 0.2}{1}$ by $\frac{8}{8}$ .

$\frac{0.48 (\frac{8}{1.6})}{1.6 (\frac{8}{1.6})} + \frac{{(1.2)}^{2} \cdot 8}{8} + \frac{- 0.2 \cdot 0.2 \cdot 8}{8}$

Step 2.9

Combine $1.6$ and $\frac{8}{1.6}$ .

$\frac{0.48 (\frac{8}{1.6})}{\frac{1.6 \cdot 8}{1.6}} + \frac{{(1.2)}^{2} \cdot 8}{8} + \frac{- 0.2 \cdot 0.2 \cdot 8}{8}$

Step 2.10

Multiply $1.6$ by $8$ .

$\frac{0.48 (\frac{8}{1.6})}{\frac{12.8}{1.6}} + \frac{{(1.2)}^{2} \cdot 8}{8} + \frac{- 0.2 \cdot 0.2 \cdot 8}{8}$

Step 3

Combine the numerators over the common denominator.

$\frac{0.48 (\frac{8}{1.6})}{\frac{12.8}{1.6}} + \frac{{(1.2)}^{2} \cdot 8 - 0.2 \cdot 0.2 \cdot 8}{8}$

Step 4

Simplify each term.

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Step 4.1

Raise $1.2$ to the power of $2$ .

$\frac{0.48 (\frac{8}{1.6})}{\frac{12.8}{1.6}} + \frac{1.44 \cdot 8 - 0.2 \cdot 0.2 \cdot 8}{8}$

Step 4.2

Multiply $1.44$ by $8$ .

$\frac{0.48 (\frac{8}{1.6})}{\frac{12.8}{1.6}} + \frac{11.52 - 0.2 \cdot 0.2 \cdot 8}{8}$

Step 4.3

Multiply $- 0.2 \cdot 0.2 \cdot 8$ .

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Step 4.3.1

Multiply $- 0.2$ by $0.2$ .

$\frac{0.48 (\frac{8}{1.6})}{\frac{12.8}{1.6}} + \frac{11.52 - 0.04 \cdot 8}{8}$

Step 4.3.2

Multiply $- 0.04$ by $8$ .

$\frac{0.48 (\frac{8}{1.6})}{\frac{12.8}{1.6}} + \frac{11.52 - 0.32}{8}$

Step 5

Subtract $0.32$ from $11.52$ .

$\frac{0.48 (\frac{8}{1.6})}{\frac{12.8}{1.6}} + \frac{11.2}{8}$

Step 6

Simplify each term.

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Step 6.1

Multiply the numerator by the reciprocal of the denominator.

$0.48 (\frac{8}{1.6}) \frac{1.6}{12.8} + \frac{11.2}{8}$

Step 6.2

Divide $8$ by $1.6$ .

$0.48 \cdot 5 \frac{1.6}{12.8} + \frac{11.2}{8}$

Step 6.3

Multiply $0.48$ by $5$ .

$2.4 (\frac{1.6}{12.8}) + \frac{11.2}{8}$

Step 6.4

Divide $1.6$ by $12.8$ .

$2.4 \cdot 0.125 + \frac{11.2}{8}$

Step 6.5

Multiply $2.4$ by $0.125$ .

$0.3 + \frac{11.2}{8}$

Step 6.6

Divide $11.2$ by $8$ .

$0.3 + 1.4$

Step 7

Add $0.3$ and $1.4$ .

$1.7$