Pre-Algebra Examples

$\frac{10}{20} \cdot 12 = x$

Step 1

Rewrite the equation as $x = \frac{10}{20} \cdot 12$ .

$x = \frac{10}{20} \cdot 12$

Step 2

Simplify $\frac{10}{20} \cdot 12$ .

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Step 2.1

Cancel the common factor of $4$ .

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Step 2.1.1

Factor $4$ out of $20$ .

$x = \frac{10}{4 (5)} \cdot 12$

Step 2.1.2

Factor $4$ out of $12$ .

$x = \frac{10}{4 \cdot 5} \cdot (4 \cdot 3)$

Step 2.1.3

Cancel the common factor.

$x = \frac{10}{4 \cdot 5} \cdot (4 \cdot 3)$

Step 2.1.4

Rewrite the expression.

$x = \frac{10}{5} \cdot 3$

$x = \frac{10}{5} \cdot 3$

Step 2.2

Combine $\frac{10}{5}$ and $3$ .

$x = \frac{10 \cdot 3}{5}$

Step 2.3

Simplify the expression.

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Step 2.3.1

Multiply $10$ by $3$ .

$x = \frac{30}{5}$

Step 2.3.2

Divide $30$ by $5$ .

$x = 6$

$x = 6$

$x = 6$

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