Algebra Examples

$\frac{E}{R} = I$

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.

$R, 1$

Step 1.2

The LCM of one and any expression is the expression.

$R$

Step 2

Multiply each term in $\frac{E}{R} = I$ by $R$ to eliminate the fractions.

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Step 2.1

Multiply each term in $\frac{E}{R} = I$ by $R$ .

$\frac{E}{R} R = I R$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $R$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{E}{R} R = I R$

Step 2.2.1.2

Rewrite the expression.

$E = I R$

Step 3

Solve the equation.

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Step 3.1

Rewrite the equation as $I R = E$ .

$I R = E$

Step 3.2

Divide each term in $I R = E$ by $I$ and simplify.

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Step 3.2.1

Divide each term in $I R = E$ by $I$ .

$\frac{I R}{I} = \frac{E}{I}$

Step 3.2.2

Simplify the left side.

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Step 3.2.2.1

Cancel the common factor of $I$ .

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Step 3.2.2.1.1

Cancel the common factor.

$\frac{I R}{I} = \frac{E}{I}$

Step 3.2.2.1.2

Divide $R$ by $1$ .

$R = \frac{E}{I}$