Pre-Algebra Examples

$- \frac{1}{5}$

Step 1

To find the reciprocal, divide $1$ by the number given.

$\frac{1}{- \frac{1}{5}}$

Step 2

Simplify.

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Step 2.1

Cancel the common factor of $1$ and $- 1$ .

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Step 2.1.1

Rewrite $1$ as $- 1 (- 1)$ .

$\frac{- 1 (- 1)}{- \frac{1}{5}}$

Step 2.1.2

Move the negative in front of the fraction.

$- \frac{1}{\frac{1}{5}}$

Step 2.2

Multiply the numerator by the reciprocal of the denominator.

$- (1 \cdot 5)$

Step 2.3

Multiply $- (1 \cdot 5)$ .

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Step 2.3.1

Multiply $5$ by $1$ .

$- 1 \cdot 5$

Step 2.3.2

Multiply $- 1$ by $5$ .

$- 5$