Finite Math Examples

$\frac{p x}{4} = \frac{2}{3}$

Step 1

Multiply both sides of the equation by $4$ .

$4 \frac{p x}{4} = 4 (\frac{2}{3})$

Step 2

Simplify both sides of the equation.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Cancel the common factor of $4$ .

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Step 2.1.1.1

Cancel the common factor.

$4 \frac{p x}{4} = 4 (\frac{2}{3})$

Step 2.1.1.2

Rewrite the expression.

$p x = 4 (\frac{2}{3})$

Step 2.2

Simplify the right side.

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Step 2.2.1

Multiply $4 (\frac{2}{3})$ .

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Step 2.2.1.1

Combine $4$ and $\frac{2}{3}$ .

$p x = \frac{4 \cdot 2}{3}$

Step 2.2.1.2

Multiply $4$ by $2$ .

$p x = \frac{8}{3}$

Step 3

Divide each term in $p x = \frac{8}{3}$ by $p$ and simplify.

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Step 3.1

Divide each term in $p x = \frac{8}{3}$ by $p$ .

$\frac{p x}{p} = \frac{\frac{8}{3}}{p}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $p$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{p x}{p} = \frac{\frac{8}{3}}{p}$

Step 3.2.1.2

Divide $x$ by $1$ .

$x = \frac{\frac{8}{3}}{p}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Multiply the numerator by the reciprocal of the denominator.

$x = \frac{8}{3} \cdot \frac{1}{p}$

Step 3.3.2

Multiply $\frac{8}{3}$ by $\frac{1}{p}$ .

$x = \frac{8}{3 p}$