Basic Math Examples

$(10 \cdot 2 + 4 (1 + 2^{2})) \div 20$

Step 1

Rewrite the division as a fraction.

$\frac{10 \cdot 2 + 4 (1 + 2^{2})}{20}$

Step 2

Reduce the expression by cancelling the common factors.

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Step 2.1

Cancel the common factor of $10 \cdot 2 + 4 (1 + 2^{2})$ and $20$ .

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Step 2.1.1

Reorder terms.

$\frac{4 (1 + 2^{2}) + 2 \cdot 10}{20}$

Step 2.1.2

Factor $2$ out of $4 (1 + 2^{2})$ .

$\frac{2 (2 (1 + 2^{2})) + 2 \cdot 10}{20}$

Step 2.1.3

Factor $2$ out of $2 \cdot 10$ .

$\frac{2 (2 (1 + 2^{2})) + 2 (10)}{20}$

Step 2.1.4

Factor $2$ out of $2 (2 (1 + 2^{2})) + 2 (10)$ .

$\frac{2 (2 (1 + 2^{2}) + 10)}{20}$

Step 2.1.5

Cancel the common factors.

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Step 2.1.5.1

Factor $2$ out of $20$ .

$\frac{2 (2 (1 + 2^{2}) + 10)}{2 (10)}$

Step 2.1.5.2

Cancel the common factor.

$\frac{2 (2 (1 + 2^{2}) + 10)}{2 \cdot 10}$

Step 2.1.5.3

Rewrite the expression.

$\frac{2 (1 + 2^{2}) + 10}{10}$

Step 2.2

Cancel the common factor of $2 (1 + 2^{2}) + 10$ and $10$ .

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Step 2.2.1

Factor $2$ out of $10$ .

$\frac{2 (1 + 2^{2}) + 2 \cdot 5}{10}$

Step 2.2.2

Factor $2$ out of $2 (1 + 2^{2}) + 2 \cdot 5$ .

$\frac{2 (1 + 2^{2} + 5)}{10}$

Step 2.2.3

Cancel the common factors.

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Step 2.2.3.1

Factor $2$ out of $10$ .

$\frac{2 (1 + 2^{2} + 5)}{2 (5)}$

Step 2.2.3.2

Cancel the common factor.

$\frac{2 (1 + 2^{2} + 5)}{2 \cdot 5}$

Step 2.2.3.3

Rewrite the expression.

$\frac{1 + 2^{2} + 5}{5}$

Step 3

Simplify the numerator.

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Step 3.1

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

$\frac{1 + 4 + 5}{5}$

Step 3.2

Add $1$ and $4$ .

$\frac{5 + 5}{5}$

Step 3.3

Add $5$ and $5$ .

$\frac{10}{5}$

Step 4

Divide $10$ by $5$ .

$2$