Precalculus Examples

$\frac{c}{- 6} = \frac{- 1}{6}$

Step 1

Multiply both sides of the equation by $- 6$ .

$- 6 \frac{c}{- 6} = - 6 (\frac{- 1}{6})$

Step 2

Simplify both sides of the equation.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Simplify $- 6 \frac{c}{- 6}$ .

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Step 2.1.1.1

Cancel the common factor of $6$ .

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Step 2.1.1.1.1

Factor $6$ out of $- 6$ .

$6 (- 1) \frac{c}{- 6} = - 6 (\frac{- 1}{6})$

Step 2.1.1.1.2

Factor $6$ out of $- 6$ .

$6 \cdot - 1 \frac{c}{6 \cdot - 1} = - 6 (\frac{- 1}{6})$

Step 2.1.1.1.3

Cancel the common factor.

$6 \cdot - 1 \frac{c}{6 \cdot - 1} = - 6 (\frac{- 1}{6})$

Step 2.1.1.1.4

Rewrite the expression.

$- \frac{c}{- 1} = - 6 (\frac{- 1}{6})$

Step 2.1.1.2

Simplify the expression.

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Step 2.1.1.2.1

Move the negative one from the denominator of $\frac{c}{- 1}$ .

$- (- 1 \cdot c) = - 6 (\frac{- 1}{6})$

Step 2.1.1.2.2

Rewrite $- 1 \cdot c$ as $- c$ .

$- - c = - 6 (\frac{- 1}{6})$

Step 2.1.1.3

Multiply $- - c$ .

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Step 2.1.1.3.1

Multiply $- 1$ by $- 1$ .

$1 c = - 6 (\frac{- 1}{6})$

Step 2.1.1.3.2

Multiply $c$ by $1$ .

$c = - 6 (\frac{- 1}{6})$

Step 2.2

Simplify the right side.

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Step 2.2.1

Simplify $- 6 (\frac{- 1}{6})$ .

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Step 2.2.1.1

Cancel the common factor of $6$ .

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Step 2.2.1.1.1

Factor $6$ out of $- 6$ .

$c = 6 (- 1) \frac{- 1}{6}$

Step 2.2.1.1.2

Cancel the common factor.

$c = 6 \cdot - 1 \frac{- 1}{6}$

Step 2.2.1.1.3

Rewrite the expression.

$c = - - 1$

Step 2.2.1.2

Multiply $- 1$ by $- 1$ .

$c = 1$