Pre-Algebra Examples

$\frac{30}{60} = \frac{x}{80^{2}}$

Step 1

Rewrite the equation as $\frac{x}{80^{2}} = \frac{30}{60}$ .

$\frac{x}{80^{2}} = \frac{30}{60}$

Step 2

Multiply both sides of the equation by $80^{2}$ .

$80^{2} \frac{x}{80^{2}} = 80^{2} \frac{30}{60}$

Step 3

Simplify both sides of the equation.

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Step 3.1

Simplify the left side.

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Step 3.1.1

Cancel the common factor of $80^{2}$ .

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Step 3.1.1.1

Cancel the common factor.

$80^{2} \frac{x}{80^{2}} = 80^{2} \frac{30}{60}$

Step 3.1.1.2

Rewrite the expression.

$x = 80^{2} \frac{30}{60}$

$x = 80^{2} \frac{30}{60}$

$x = 80^{2} \frac{30}{60}$

Step 3.2

Simplify the right side.

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Step 3.2.1

Simplify $80^{2} \frac{30}{60}$ .

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Step 3.2.1.1

Raise $80$ to the power of $2$ .

$x = 6400 (\frac{30}{60})$

Step 3.2.1.2

Cancel the common factor of $20$ .

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Step 3.2.1.2.1

Factor $20$ out of $6400$ .

$x = 20 (320) \frac{30}{60}$

Step 3.2.1.2.2

Factor $20$ out of $60$ .

$x = 20 \cdot 320 \frac{30}{20 \cdot 3}$

Step 3.2.1.2.3

Cancel the common factor.

$x = 20 \cdot 320 \frac{30}{20 \cdot 3}$

Step 3.2.1.2.4

Rewrite the expression.

$x = 320 (\frac{30}{3})$

$x = 320 (\frac{30}{3})$

Step 3.2.1.3

Combine $320$ and $\frac{30}{3}$ .

$x = \frac{320 \cdot 30}{3}$

Step 3.2.1.4

Simplify the expression.

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Step 3.2.1.4.1

Multiply $320$ by $30$ .

$x = \frac{9600}{3}$

Step 3.2.1.4.2

Divide $9600$ by $3$ .

$x = 3200$

$x = 3200$

$x = 3200$

$x = 3200$

$x = 3200$

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