Finite Math Examples

$\frac{p v}{n t} = \frac{n R t}{n t}$

Step 1

Rewrite the equation as $\frac{n R t}{n t} = \frac{p v}{n t}$ .

$\frac{n R t}{n t} = \frac{p v}{n t}$

Step 2

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

$n R t = p v$

Step 3

Divide each term in $n R t = p v$ by $n t$ and simplify.

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Step 3.1

Divide each term in $n R t = p v$ by $n t$ .

$\frac{n R t}{n t} = \frac{p v}{n t}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $n$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{n R t}{n t} = \frac{p v}{n t}$

Step 3.2.1.2

Rewrite the expression.

$\frac{R t}{t} = \frac{p v}{n t}$

Step 3.2.2

Cancel the common factor of $t$ .

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Step 3.2.2.1

Cancel the common factor.

$\frac{R t}{t} = \frac{p v}{n t}$

Step 3.2.2.2

Divide $R$ by $1$ .

$R = \frac{p v}{n t}$