Pre-Algebra Examples

V = \frac{1}{3} \cdot (B H)

$V = \frac{1}{3} \cdot (B H)$

Step 1

Rewrite the equation as

\frac{1}{3} \cdot (B H) = V

$\frac{1}{3} \cdot (B H) = V$ .

\frac{1}{3} \cdot (B H) = V

$\frac{1}{3} \cdot (B H) = V$

Step 2

Multiply both sides of the equation by

3

$3$ .

3 (\frac{1}{3} \cdot (B H)) = 3 V

$3 (\frac{1}{3} \cdot (B H)) = 3 V$

Step 3

Simplify the left side.

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Step 3.1

Simplify

3 (\frac{1}{3} \cdot (B H))

$3 (\frac{1}{3} \cdot (B H))$ .

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Step 3.1.1

Multiply

\frac{1}{3} (B H)

$\frac{1}{3} (B H)$ .

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Step 3.1.1.1

Combine

B

$B$ and

\frac{1}{3}

$\frac{1}{3}$ .

3 (\frac{B}{3} H) = 3 V

$3 (\frac{B}{3} H) = 3 V$

Step 3.1.1.2

Combine

\frac{B}{3}

$\frac{B}{3}$ and

H

$H$ .

3 \frac{B H}{3} = 3 V

$3 \frac{B H}{3} = 3 V$

3 \frac{B H}{3} = 3 V

$3 \frac{B H}{3} = 3 V$

Step 3.1.2

Cancel the common factor of

3

$3$ .

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Step 3.1.2.1

Cancel the common factor.

3 \frac{B H}{3} = 3 V

$3 \frac{B H}{3} = 3 V$

Step 3.1.2.2

Rewrite the expression.

B H = 3 V

$B H = 3 V$

B H = 3 V

$B H = 3 V$

B H = 3 V

$B H = 3 V$

B H = 3 V

$B H = 3 V$

Step 4

Divide each term in

B H = 3 V

$B H = 3 V$ by

H

$H$ and simplify.

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Step 4.1

Divide each term in

B H = 3 V

$B H = 3 V$ by

H

$H$ .

\frac{B H}{H} = \frac{3 V}{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

$H$ .

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Step 4.2.1.1

Cancel the common factor.

\frac{B H}{H} = \frac{3 V}{H}

$\frac{B H}{H} = \frac{3 V}{H}$

Step 4.2.1.2

Divide

B

$B$ by

1

$1$ .

B = \frac{3 V}{H}

$B = \frac{3 V}{H}$

B = \frac{3 V}{H}

$B = \frac{3 V}{H}$

B = \frac{3 V}{H}

$B = \frac{3 V}{H}$

B = \frac{3 V}{H}

$B = \frac{3 V}{H}$

[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$