Algebra Examples

$- 8 \div \frac{12}{13}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$- 8 (\frac{13}{12})$

Step 2

Cancel the common factor of $4$ .

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Step 2.1

Factor $4$ out of $- 8$ .

$4 (- 2) \frac{13}{12}$

Step 2.2

Factor $4$ out of $12$ .

$4 \cdot - 2 \frac{13}{4 \cdot 3}$

Step 2.3

Cancel the common factor.

$4 \cdot - 2 \frac{13}{4 \cdot 3}$

Step 2.4

Rewrite the expression.

$- 2 (\frac{13}{3})$

$- 2 (\frac{13}{3})$

Step 3

Combine $- 2$ and $\frac{13}{3}$ .

$\frac{- 2 \cdot 13}{3}$

Step 4

Multiply $- 2$ by $13$ .

$\frac{- 26}{3}$

Step 5

Move the negative in front of the fraction.

$- \frac{26}{3}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$- \frac{26}{3}$

Decimal Form:

$- 8.\overline{6}$

Mixed Number Form:

$- 8 \frac{2}{3}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$