Solve for r 1/13r=-8/15

$\frac{1}{13} r = - \frac{8}{15}$

Multiply both sides of the equation by $13$ .

$13 (\frac{1}{13} r) = 13 (- \frac{8}{15})$

Simplify both sides of the equation.

Simplify the left side.

Simplify $13 (\frac{1}{13} r)$ .

Combine $\frac{1}{13}$ and $r$ .

$13 \frac{r}{13} = 13 (- \frac{8}{15})$

Cancel the common factor of $13$ .

Cancel the common factor.

$13 \frac{r}{13} = 13 (- \frac{8}{15})$

Rewrite the expression.

$r = 13 (- \frac{8}{15})$

$r = 13 (- \frac{8}{15})$

$r = 13 (- \frac{8}{15})$

$r = 13 (- \frac{8}{15})$

Simplify the right side.

Simplify $13 (- \frac{8}{15})$ .

Multiply $13 (- \frac{8}{15})$ .

Multiply $- 1$ by $13$ .

$r = - 13 (\frac{8}{15})$

Combine $- 13$ and $\frac{8}{15}$ .

$r = \frac{- 13 \cdot 8}{15}$

Multiply $- 13$ by $8$ .

$r = \frac{- 104}{15}$

$r = \frac{- 104}{15}$

Move the negative in front of the fraction.

$r = - \frac{104}{15}$

$r = - \frac{104}{15}$

$r = - \frac{104}{15}$

$r = - \frac{104}{15}$

The result can be shown in multiple forms.

Exact Form:

$r = - \frac{104}{15}$

Decimal Form:

$r = - 6.9\overline{3}$

Mixed Number Form:

$r = - 6 \frac{14}{15}$

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