Algebra Examples

$v = \frac{1}{3} b h$

Step 1

Rewrite the equation as $\frac{1}{3} \cdot (b h) = v$ .

$\frac{1}{3} \cdot (b h) = v$

Step 2

Multiply both sides of the equation by $3$ .

$3 (\frac{1}{3} \cdot (b h)) = 3 v$

Step 3

Simplify the left side.

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Step 3.1

Simplify $3 (\frac{1}{3} \cdot (b h))$ .

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Step 3.1.1

Multiply $\frac{1}{3} (b h)$ .

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Step 3.1.1.1

Combine $b$ and $\frac{1}{3}$ .

$3 (\frac{b}{3} h) = 3 v$

Step 3.1.1.2

Combine $\frac{b}{3}$ and $h$ .

$3 \frac{b h}{3} = 3 v$

Step 3.1.2

Cancel the common factor of $3$ .

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Step 3.1.2.1

Cancel the common factor.

$3 \frac{b h}{3} = 3 v$

Step 3.1.2.2

Rewrite the expression.

$b h = 3 v$

Step 4

Divide each term in $b h = 3 v$ by $h$ and simplify.

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Step 4.1

Divide each term in $b h = 3 v$ by $h$ .

$\frac{b h}{h} = \frac{3 v}{h}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $h$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{b h}{h} = \frac{3 v}{h}$

Step 4.2.1.2

Divide $b$ by $1$ .

$b = \frac{3 v}{h}$