Pre-Algebra Examples

$c \div (- 4) = - 1$

Step 1

Multiply both sides of the equation by $- 4$ .

$- 4 c \div (- 4) = - 4 \cdot - 1$

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 $- 4 c \div (- 4)$ .

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Step 2.1.1.1

Rewrite the division as a fraction.

$- 4 \frac{c}{- 4} = - 4 \cdot - 1$

Step 2.1.1.2

Cancel the common factor of $4$ .

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Step 2.1.1.2.1

Factor $4$ out of $- 4$ .

$4 (- 1) \frac{c}{- 4} = - 4 \cdot - 1$

Step 2.1.1.2.2

Factor $4$ out of $- 4$ .

$4 \cdot - 1 \frac{c}{4 \cdot - 1} = - 4 \cdot - 1$

Step 2.1.1.2.3

Cancel the common factor.

$4 \cdot - 1 \frac{c}{4 \cdot - 1} = - 4 \cdot - 1$

Step 2.1.1.2.4

Rewrite the expression.

$- \frac{c}{- 1} = - 4 \cdot - 1$

Step 2.1.1.3

Simplify the expression.

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Step 2.1.1.3.1

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

$- (- 1 \cdot c) = - 4 \cdot - 1$

Step 2.1.1.3.2

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

$- - c = - 4 \cdot - 1$

Step 2.1.1.4

Multiply $- - c$ .

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Step 2.1.1.4.1

Multiply $- 1$ by $- 1$ .

$1 c = - 4 \cdot - 1$

Step 2.1.1.4.2

Multiply $c$ by $1$ .

$c = - 4 \cdot - 1$

Step 2.2

Simplify the right side.

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Step 2.2.1

Multiply $- 4$ by $- 1$ .

$c = 4$