Solve for r 8/r=96

$\frac{8}{r} = 96$

Find the LCD of the terms in the equation.

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

$r, 1$

The LCM of one and any expression is the expression.

$r$

Multiply each term in $\frac{8}{r} = 96$ by $r$ to eliminate the fractions.

Multiply each term in $\frac{8}{r} = 96$ by $r$ .

$\frac{8}{r} r = 96 r$

Simplify the left side.

Cancel the common factor of $r$ .

Cancel the common factor.

$\frac{8}{r} r = 96 r$

Rewrite the expression.

$8 = 96 r$

Solve the equation.

Rewrite the equation as $96 r = 8$ .

$96 r = 8$

Divide each term in $96 r = 8$ by $96$ and simplify.

Divide each term in $96 r = 8$ by $96$ .

$\frac{96 r}{96} = \frac{8}{96}$

Simplify the left side.

Cancel the common factor of $96$ .

Cancel the common factor.

$\frac{96 r}{96} = \frac{8}{96}$

Divide $r$ by $1$ .

$r = \frac{8}{96}$

Simplify the right side.

Cancel the common factor of $8$ and $96$ .

Factor $8$ out of $8$ .

$r = \frac{8 (1)}{96}$

Cancel the common factors.

Factor $8$ out of $96$ .

$r = \frac{8 \cdot 1}{8 \cdot 12}$

Cancel the common factor.

$r = \frac{8 \cdot 1}{8 \cdot 12}$

Rewrite the expression.

$r = \frac{1}{12}$

The result can be shown in multiple forms.

Exact Form:

$r = \frac{1}{12}$

Decimal Form:

$r = 0.08\overline{3}$