Algebra Examples

$- 1 \frac{1}{12}$

Step 1

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

$\frac{1}{- 1 \frac{1}{12}}$

Step 2

Simplify.

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Step 2.1

Convert $1 \frac{1}{12}$ to an improper fraction.

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Step 2.1.1

A mixed number is an addition of its whole and fractional parts.

$\frac{1}{- (1 + \frac{1}{12})}$

Step 2.1.2

Add $1$ and $\frac{1}{12}$ .

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Step 2.1.2.1

Write $1$ as a fraction with a common denominator.

$\frac{1}{- (\frac{12}{12} + \frac{1}{12})}$

Step 2.1.2.2

Combine the numerators over the common denominator.

$\frac{1}{- \frac{12 + 1}{12}}$

Step 2.1.2.3

Add $12$ and $1$ .

$\frac{1}{- \frac{13}{12}}$

Step 2.2

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

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Step 2.2.1

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

$\frac{- 1 (- 1)}{- \frac{13}{12}}$

Step 2.2.2

Move the negative in front of the fraction.

$- \frac{1}{\frac{13}{12}}$

Step 2.3

Multiply the numerator by the reciprocal of the denominator.

$- (1 (\frac{12}{13}))$

Step 2.4

Multiply $\frac{12}{13}$ by $1$ .

$- \frac{12}{13}$