Pre-Algebra Examples

$100 \div (30 + 20)$

Step 1

Rewrite the division as a fraction.

$\frac{100}{30 + 20}$

Step 2

Cancel the common factor of $100$ and $30 + 20$ .

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Step 2.1

Factor $10$ out of $100$ .

$\frac{10 (10)}{30 + 20}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $10$ out of $30$ .

$\frac{10 \cdot 10}{10 \cdot 3 + 20}$

Step 2.2.2

Factor $10$ out of $20$ .

$\frac{10 (10)}{10 \cdot 3 + 10 \cdot 2}$

Step 2.2.3

Factor $10$ out of $10 \cdot 3 + 10 \cdot 2$ .

$\frac{10 (10)}{10 \cdot (3 + 2)}$

Step 2.2.4

Cancel the common factor.

$\frac{10 \cdot 10}{10 \cdot (3 + 2)}$

Step 2.2.5

Rewrite the expression.

$\frac{10}{3 + 2}$

$\frac{10}{3 + 2}$

$\frac{10}{3 + 2}$

Step 3

Simplify the expression.

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Step 3.1

Add $3$ and $2$ .

$\frac{10}{5}$

Step 3.2

Divide $10$ by $5$ .

$2$

$2$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$