Algebra Examples

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

Step 1

Find the LCD of the terms in the equation.

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Step 1.1

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

$b, 1$

Step 1.2

The LCM of one and any expression is the expression.

$b$

Step 2

Multiply each term in $\frac{a}{b} = c$ by $b$ to eliminate the fractions.

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Step 2.1

Multiply each term in $\frac{a}{b} = c$ by $b$ .

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

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $b$ .

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Step 2.2.1.1

Cancel the common factor.

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

Step 2.2.1.2

Rewrite the expression.

$a = c b$

Step 3

Solve the equation.

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Step 3.1

Rewrite the equation as $c b = a$ .

$c b = a$

Step 3.2

Divide each term in $c b = a$ by $c$ and simplify.

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Step 3.2.1

Divide each term in $c b = a$ by $c$ .

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

Step 3.2.2

Simplify the left side.

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Step 3.2.2.1

Cancel the common factor of $c$ .

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Step 3.2.2.1.1

Cancel the common factor.

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

Step 3.2.2.1.2

Divide $b$ by $1$ .

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