Solve for x 8/5=(11x)/4

$\frac{8}{5} = \frac{11 x}{4}$

Step 1

Rewrite the equation as $\frac{11 x}{4} = \frac{8}{5}$ .

$\frac{11 x}{4} = \frac{8}{5}$

Step 2

Multiply both sides of the equation by $\frac{4}{11}$ .

$\frac{4}{11} \cdot \frac{11 x}{4} = \frac{4}{11} \cdot \frac{8}{5}$

Step 3

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{4}{11} \cdot \frac{11 x}{4}$ .

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4}{11} \cdot \frac{11 x}{4} = \frac{4}{11} \cdot \frac{8}{5}$

Rewrite the expression.

$\frac{1}{11} (11 x) = \frac{4}{11} \cdot \frac{8}{5}$

Cancel the common factor of $11$ .

Factor $11$ out of $11 x$ .

$\frac{1}{11} (11 (x)) = \frac{4}{11} \cdot \frac{8}{5}$

Cancel the common factor.

$\frac{1}{11} (11 x) = \frac{4}{11} \cdot \frac{8}{5}$

Rewrite the expression.

$x = \frac{4}{11} \cdot \frac{8}{5}$

Simplify the right side.

Multiply $\frac{4}{11} \cdot \frac{8}{5}$ .

Multiply $\frac{4}{11}$ by $\frac{8}{5}$ .

$x = \frac{4 \cdot 8}{11 \cdot 5}$

Multiply $4$ by $8$ .

$x = \frac{32}{11 \cdot 5}$

Multiply $11$ by $5$ .

$x = \frac{32}{55}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = \frac{32}{55}$

Decimal Form:

$x = 0.5\overline{81}$