Algebra Examples

$x = \frac{c}{d}$

Step 1

Rewrite the equation as $\frac{c}{d} = x$ .

$\frac{c}{d} = x$

Step 2

Find the LCD of the terms in the equation.

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Step 2.1

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

$d, 1$

Step 2.2

The LCM of one and any expression is the expression.

$d$

Step 3

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

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Step 3.1

Multiply each term in $\frac{c}{d} = x$ by $d$ .

$\frac{c}{d} d = x d$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $d$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{c}{d} d = x d$

Step 3.2.1.2

Rewrite the expression.

$c = x d$

Step 4

Solve the equation.

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Step 4.1

Rewrite the equation as $x d = c$ .

$x d = c$

Step 4.2

Divide each term in $x d = c$ by $x$ and simplify.

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Step 4.2.1

Divide each term in $x d = c$ by $x$ .

$\frac{x d}{x} = \frac{c}{x}$

Step 4.2.2

Simplify the left side.

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Step 4.2.2.1

Cancel the common factor of $x$ .

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Step 4.2.2.1.1

Cancel the common factor.

$\frac{x d}{x} = \frac{c}{x}$

Step 4.2.2.1.2

Divide $d$ by $1$ .

$d = \frac{c}{x}$