Finite Math Examples

$c = \frac{1}{4 h (k)}$

Step 1

Rewrite the equation as $\frac{1}{4 h k} = c$ .

$\frac{1}{4 h k} = c$

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.

$4 h k, 1$

Step 2.2

The LCM of one and any expression is the expression.

$4 h k$

Step 3

Multiply each term in $\frac{1}{4 h k} = c$ by $4 h k$ to eliminate the fractions.

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Step 3.1

Multiply each term in $\frac{1}{4 h k} = c$ by $4 h k$ .

$\frac{1}{4 h k} (4 h k) = c (4 h k)$

Step 3.2

Simplify the left side.

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Step 3.2.1

Rewrite using the commutative property of multiplication.

$4 \frac{1}{4 h k} (h k) = c (4 h k)$

Step 3.2.2

Cancel the common factor of $4$ .

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Step 3.2.2.1

Factor $4$ out of $4 h k$ .

$4 \frac{1}{4 (h k)} (h k) = c (4 h k)$

Step 3.2.2.2

Cancel the common factor.

$4 \frac{1}{4 (h k)} (h k) = c (4 h k)$

Step 3.2.2.3

Rewrite the expression.

$\frac{1}{h k} (h k) = c (4 h k)$

Step 3.2.3

Cancel the common factor of $h k$ .

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Step 3.2.3.1

Cancel the common factor.

$\frac{1}{h k} (h k) = c (4 h k)$

Step 3.2.3.2

Rewrite the expression.

$1 = c (4 h k)$

Step 3.3

Simplify the right side.

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Step 3.3.1

Rewrite using the commutative property of multiplication.

$1 = 4 c h k$

Step 4

Solve the equation.

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Step 4.1

Rewrite the equation as $4 c h k = 1$ .

$4 c h k = 1$

Step 4.2

Divide each term in $4 c h k = 1$ by $4 c h$ and simplify.

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Step 4.2.1

Divide each term in $4 c h k = 1$ by $4 c h$ .

$\frac{4 c h k}{4 c h} = \frac{1}{4 c h}$

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.

$\frac{4 c h k}{4 c h} = \frac{1}{4 c h}$

Step 4.2.2.1.2

Rewrite the expression.

$\frac{c h k}{c h} = \frac{1}{4 c h}$

Step 4.2.2.2

Cancel the common factor of $c$ .

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Step 4.2.2.2.1

Cancel the common factor.

$\frac{c h k}{c h} = \frac{1}{4 c h}$

Step 4.2.2.2.2

Rewrite the expression.

$\frac{h k}{h} = \frac{1}{4 c h}$

Step 4.2.2.3

Cancel the common factor of $h$ .

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Step 4.2.2.3.1

Cancel the common factor.

$\frac{h k}{h} = \frac{1}{4 c h}$

Step 4.2.2.3.2

Divide $k$ by $1$ .

$k = \frac{1}{4 c h}$