Basic Math Examples

$\frac{4}{k} = \frac{8}{2}$

Step 1

Divide $8$ by $2$ .

$\frac{4}{k} = 4$

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.

$k, 1$

Step 2.2

The LCM of one and any expression is the expression.

$k$

Step 3

Multiply each term in $\frac{4}{k} = 4$ by $k$ to eliminate the fractions.

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Step 3.1

Multiply each term in $\frac{4}{k} = 4$ by $k$ .

$\frac{4}{k} k = 4 k$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $k$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{4}{k} k = 4 k$

Step 3.2.1.2

Rewrite the expression.

$4 = 4 k$

Step 4

Solve the equation.

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Step 4.1

Rewrite the equation as $4 k = 4$ .

$4 k = 4$

Step 4.2

Divide each term in $4 k = 4$ by $4$ and simplify.

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Step 4.2.1

Divide each term in $4 k = 4$ by $4$ .

$\frac{4 k}{4} = \frac{4}{4}$

Step 4.2.2

Simplify the left side.

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Step 4.2.2.1

Cancel the common factor of $4$ .

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Step 4.2.2.1.1

Cancel the common factor.

$\frac{4 k}{4} = \frac{4}{4}$

Step 4.2.2.1.2

Divide $k$ by $1$ .

$k = \frac{4}{4}$

Step 4.2.3

Simplify the right side.

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Step 4.2.3.1

Divide $4$ by $4$ .

$k = 1$