Solve 2/3*x/5=8/15

$$\frac { 2 } { 3 } \cdot \frac { x } { 5 } = \frac { 8 } { 15 }$$

Solve for x

$$x=4$$

Steps for Solving Linear Equation

Multiply both sides by \frac{3}{2}, the reciprocal of \frac{2}{3}.

$$\frac{x}{5}=\frac{8}{15}\times \frac{3}{2}$$

Multiply \frac{8}{15} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{x}{5}=\frac{8\times 3}{15\times 2}$$

Do the multiplications in the fraction \frac{8\times 3}{15\times 2}.

$$\frac{x}{5}=\frac{24}{30}$$

Reduce the fraction \frac{24}{30} to lowest terms by extracting and canceling out 6.

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

Multiply both sides by 5.

$$x=\frac{4}{5}\times 5$$

Cancel out 5 and 5.

$$x=4$$