Algebra Examples

$\frac{P V}{t} = \frac{p v}{t}$

Step 1

Since the expression on each side of the equation has the same denominator, the numerators must be equal.

$P V = p v$

Step 2

Divide each term in $P V = p v$ by $V$ and simplify.

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Step 2.1

Divide each term in $P V = p v$ by $V$ .

$\frac{P V}{V} = \frac{p v}{V}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $V$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{P V}{V} = \frac{p v}{V}$

Step 2.2.1.2

Divide $P$ by $1$ .

$P = \frac{p v}{V}$