Basic Math Examples

$\frac{v}{h} = l w h$

Step 1

Rewrite the equation as $l w h = \frac{v}{h}$ .

$l w h = \frac{v}{h}$

Step 2

Divide each term in $l w h = \frac{v}{h}$ by $l h$ and simplify.

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Step 2.1

Divide each term in $l w h = \frac{v}{h}$ by $l h$ .

$\frac{l w h}{l h} = \frac{\frac{v}{h}}{l h}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $l$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{l w h}{l h} = \frac{\frac{v}{h}}{l h}$

Step 2.2.1.2

Rewrite the expression.

$\frac{w h}{h} = \frac{\frac{v}{h}}{l h}$

Step 2.2.2

Cancel the common factor of $h$ .

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Step 2.2.2.1

Cancel the common factor.

$\frac{w h}{h} = \frac{\frac{v}{h}}{l h}$

Step 2.2.2.2

Divide $w$ by $1$ .

$w = \frac{\frac{v}{h}}{l h}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Multiply the numerator by the reciprocal of the denominator.

$w = \frac{v}{h} \cdot \frac{1}{l h}$

Step 2.3.2

Multiply $\frac{v}{h} \cdot \frac{1}{l h}$ .

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Step 2.3.2.1

Multiply $\frac{v}{h}$ by $\frac{1}{l h}$ .

$w = \frac{v}{h (l h)}$

Step 2.3.2.2

Raise $h$ to the power of $1$ .

$w = \frac{v}{h^{1} h l}$

Step 2.3.2.3

Raise $h$ to the power of $1$ .

$w = \frac{v}{h^{1} h^{1} l}$

Step 2.3.2.4

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$w = \frac{v}{h^{1 + 1} l}$

Step 2.3.2.5

Add $1$ and $1$ .

$w = \frac{v}{h^{2} l}$