Solve 1/3*1/5=x*2/3

$$\frac { 1 } { 3 } \cdot \frac { 1 } { 5 } = x \cdot \frac { 2 } { 3 }$$

Solve for x

$$x=\frac{1}{10}=0.1$$

Steps for Solving Linear Equation

Multiply \frac{1}{3} times \frac{1}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 1}{3\times 5}=x\times \frac{2}{3}$$

Do the multiplications in the fraction \frac{1\times 1}{3\times 5}.

$$\frac{1}{15}=x\times \frac{2}{3}$$

Swap sides so that all variable terms are on the left hand side.

$$x\times \frac{2}{3}=\frac{1}{15}$$

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

$$x=\frac{1}{15}\times \frac{3}{2}$$

Multiply \frac{1}{15} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{1\times 3}{15\times 2}$$

Do the multiplications in the fraction \frac{1\times 3}{15\times 2}.

$$x=\frac{3}{30}$$

Reduce the fraction \frac{3}{30} to lowest terms by extracting and canceling out 3.

$$x=\frac{1}{10}$$