Solve for r 4/5r=-7

$\frac{4}{5} r = - 7$

Multiply both sides of the equation by $\frac{5}{4}$ .

$\frac{5}{4} (\frac{4}{5} r) = \frac{5}{4} \cdot - 7$

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{5}{4} (\frac{4}{5} r)$ .

Combine $\frac{4}{5}$ and $r$ .

$\frac{5}{4} \cdot \frac{4 r}{5} = \frac{5}{4} \cdot - 7$

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5}{4} \cdot \frac{4 r}{5} = \frac{5}{4} \cdot - 7$

Rewrite the expression.

$\frac{1}{4} (4 r) = \frac{5}{4} \cdot - 7$

Cancel the common factor of $4$ .

Factor $4$ out of $4 r$ .

$\frac{1}{4} (4 (r)) = \frac{5}{4} \cdot - 7$

Cancel the common factor.

$\frac{1}{4} (4 r) = \frac{5}{4} \cdot - 7$

Rewrite the expression.

$r = \frac{5}{4} \cdot - 7$

Simplify the right side.

Simplify $\frac{5}{4} \cdot - 7$ .

Multiply $\frac{5}{4} \cdot - 7$ .

Combine $\frac{5}{4}$ and $- 7$ .

$r = \frac{5 \cdot - 7}{4}$

Multiply $5$ by $- 7$ .

$r = \frac{- 35}{4}$

Move the negative in front of the fraction.

$r = - \frac{35}{4}$

The result can be shown in multiple forms.

Exact Form:

$r = - \frac{35}{4}$

Decimal Form:

$r = - 8.75$

Mixed Number Form:

$r = - 8 \frac{3}{4}$