Solve for p (3p)/4=2/5

$\frac{3 p}{4} = \frac{2}{5}$

Multiply both sides of the equation by $\frac{4}{3}$ .

$\frac{4}{3} \cdot \frac{3 p}{4} = \frac{4}{3} \cdot \frac{2}{5}$

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{4}{3} \cdot \frac{3 p}{4}$ .

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4}{3} \cdot \frac{3 p}{4} = \frac{4}{3} \cdot \frac{2}{5}$

Rewrite the expression.

$\frac{1}{3} (3 p) = \frac{4}{3} \cdot \frac{2}{5}$

Cancel the common factor of $3$ .

Factor $3$ out of $3 p$ .

$\frac{1}{3} (3 (p)) = \frac{4}{3} \cdot \frac{2}{5}$

Cancel the common factor.

$\frac{1}{3} (3 p) = \frac{4}{3} \cdot \frac{2}{5}$

Rewrite the expression.

$p = \frac{4}{3} \cdot \frac{2}{5}$

Simplify the right side.

Multiply $\frac{4}{3} \cdot \frac{2}{5}$ .

Multiply $\frac{4}{3}$ by $\frac{2}{5}$ .

$p = \frac{4 \cdot 2}{3 \cdot 5}$

Multiply $4$ by $2$ .

$p = \frac{8}{3 \cdot 5}$

Multiply $3$ by $5$ .

$p = \frac{8}{15}$

The result can be shown in multiple forms.

Exact Form:

$p = \frac{8}{15}$

Decimal Form:

$p = 0.5\overline{3}$