Basic Math Examples

$(\frac{16}{3.2 \cdot 2}) + 0.2 \cdot (8 + 8^{2})$

Step 1

Simplify each term.

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Step 1.1

Cancel the common factor of $16$ and $2$ .

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Step 1.1.1

Factor $2$ out of $16$ .

$\frac{2 \cdot 8}{3.2 \cdot 2} + 0.2 \cdot (8 + 8^{2})$

Step 1.1.2

Cancel the common factors.

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Step 1.1.2.1

Factor $2$ out of $3.2 \cdot 2$ .

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

Step 1.1.2.2

Cancel the common factor.

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

Step 1.1.2.3

Rewrite the expression.

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

Step 1.2

Cancel the common factor of $8$ and $2$ .

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Step 1.2.1

Factor $2$ out of $8$ .

$\frac{2 \cdot 4}{1.6 \cdot 2} + 0.2 \cdot (8 + 8^{2})$

Step 1.2.2

Cancel the common factors.

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Step 1.2.2.1

Factor $2$ out of $1.6 \cdot 2$ .

$\frac{2 \cdot 4}{2 (0.8 \cdot 2)} + 0.2 \cdot (8 + 8^{2})$

Step 1.2.2.2

Cancel the common factor.

$\frac{2 \cdot 4}{2 (0.8 \cdot 2)} + 0.2 \cdot (8 + 8^{2})$

Step 1.2.2.3

Rewrite the expression.

$\frac{4}{0.8 \cdot 2} + 0.2 \cdot (8 + 8^{2})$

Step 1.3

Cancel the common factor of $4$ and $2$ .

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Step 1.3.1

Factor $2$ out of $4$ .

$\frac{2 \cdot 2}{0.8 \cdot 2} + 0.2 \cdot (8 + 8^{2})$

Step 1.3.2

Cancel the common factors.

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Step 1.3.2.1

Factor $2$ out of $0.8 \cdot 2$ .

$\frac{2 \cdot 2}{2 (0.4 \cdot 2)} + 0.2 \cdot (8 + 8^{2})$

Step 1.3.2.2

Cancel the common factor.

$\frac{2 \cdot 2}{2 (0.4 \cdot 2)} + 0.2 \cdot (8 + 8^{2})$

Step 1.3.2.3

Rewrite the expression.

$\frac{2}{0.4 \cdot 2} + 0.2 \cdot (8 + 8^{2})$

Step 1.4

Cancel the common factor of $2$ .

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Step 1.4.1

Cancel the common factor.

$\frac{2}{0.4 \cdot 2} + 0.2 \cdot (8 + 8^{2})$

Step 1.4.2

Rewrite the expression.

$\frac{1}{0.4} + 0.2 \cdot (8 + 8^{2})$

Step 1.5

Divide $1$ by $0.4$ .

$2.5 + 0.2 \cdot (8 + 8^{2})$

Step 1.6

Raise $8$ to the power of $2$ .

$2.5 + 0.2 \cdot (8 + 64)$

Step 1.7

Add $8$ and $64$ .

$2.5 + 0.2 \cdot 72$

Step 1.8

Multiply $0.2$ by $72$ .

$2.5 + 14.4$

Step 2

Add $2.5$ and $14.4$ .

$16.9$