Solve for x (2x)/3=4.5/4

$\frac{2 x}{3} = \frac{4.5}{4}$

Multiply both sides of the equation by $\frac{3}{2}$ .

$\frac{3}{2} \cdot \frac{2 x}{3} = \frac{3}{2} \cdot \frac{4.5}{4}$

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{3}{2} \cdot \frac{2 x}{3}$ .

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3}{2} \cdot \frac{2 x}{3} = \frac{3}{2} \cdot \frac{4.5}{4}$

Rewrite the expression.

$\frac{1}{2} (2 x) = \frac{3}{2} \cdot \frac{4.5}{4}$

Cancel the common factor of $2$ .

Factor $2$ out of $2 x$ .

$\frac{1}{2} (2 (x)) = \frac{3}{2} \cdot \frac{4.5}{4}$

Cancel the common factor.

$\frac{1}{2} (2 x) = \frac{3}{2} \cdot \frac{4.5}{4}$

Rewrite the expression.

$x = \frac{3}{2} \cdot \frac{4.5}{4}$

Simplify the right side.

Simplify $\frac{3}{2} \cdot \frac{4.5}{4}$ .

Divide $4.5$ by $4$ .

$x = \frac{3}{2} \cdot 1.125$

Multiply $\frac{3}{2} \cdot 1.125$ .

Combine $\frac{3}{2}$ and $1.125$ .

$x = \frac{3 \cdot 1.125}{2}$

Multiply $3$ by $1.125$ .

$x = \frac{3.375}{2}$

Divide $3.375$ by $2$ .

$x = 1.6875$