Algebra Examples

$\frac{a}{b} = \frac{c}{d}$

Step 1

Multiply both sides by $b$ .

$\frac{a}{b} b = \frac{c}{d} b$

Step 2

Simplify.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Cancel the common factor of $b$ .

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Step 2.1.1.1

Cancel the common factor.

$\frac{a}{b} b = \frac{c}{d} b$

Step 2.1.1.2

Rewrite the expression.

$a = \frac{c}{d} b$

$a = \frac{c}{d} b$

$a = \frac{c}{d} b$

Step 2.2

Simplify the right side.

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Step 2.2.1

Combine $\frac{c}{d}$ and $b$ .

$a = \frac{c b}{d}$

$a = \frac{c b}{d}$

$a = \frac{c b}{d}$

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