Algebra Examples

\frac{a}{b} = c

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

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

$b, 1$

Step 1.2

The LCM of one and any expression is the expression.

b

$b$

b

$b$

Step 2

Multiply each term in

\frac{a}{b} = c

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

b

$b$ to eliminate the fractions.

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Step 2.1

Multiply each term in

\frac{a}{b} = c

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

b

$b$ .

\frac{a}{b} b = c 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

$b$ .

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Step 2.2.1.1

Cancel the common factor.

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

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

Step 2.2.1.2

Rewrite the expression.

a = c b

$a = c b$

a = c b

$a = c b$

a = c b

$a = c b$

a = c b

$a = c b$

Step 3

Solve the equation.

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Step 3.1

Rewrite the equation as

c b = a

$c b = a$ .

c b = a

$c b = a$

Step 3.2

Divide each term in

c b = a

$c b = a$ by

c

$c$ and simplify.

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Step 3.2.1

Divide each term in

c b = a

$c b = a$ by

c

$c$ .

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

$c$ .

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Step 3.2.2.1.1

Cancel the common factor.

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

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

Step 3.2.2.1.2

Divide

b

$b$ by

1

$1$ .

b = \frac{a}{c}

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

b = \frac{a}{c}

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

b = \frac{a}{c}

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

b = \frac{a}{c}

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

b = \frac{a}{c}

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