Solve 2/15divx=4/5div3/8

$$\frac{ 2 }{ 15 } \div x= \frac{ 4 }{ 5 } \div \frac{ 3 }{ 8 }$$

Solve for x

$$x=\frac{1}{16}=0.0625$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$\frac{2}{15}=x\times \frac{\frac{4}{5}}{\frac{3}{8}}$$

Divide \frac{4}{5} by \frac{3}{8} by multiplying \frac{4}{5} by the reciprocal of \frac{3}{8}.

$$\frac{2}{15}=x\times \frac{4}{5}\times \frac{8}{3}$$

Multiply \frac{4}{5} times \frac{8}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2}{15}=x\times \frac{4\times 8}{5\times 3}$$

Do the multiplications in the fraction \frac{4\times 8}{5\times 3}.

$$\frac{2}{15}=x\times \frac{32}{15}$$

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

$$x\times \frac{32}{15}=\frac{2}{15}$$

Multiply both sides by \frac{15}{32}, the reciprocal of \frac{32}{15}.

$$x=\frac{2}{15}\times \frac{15}{32}$$

Multiply \frac{2}{15} times \frac{15}{32} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{2\times 15}{15\times 32}$$

Cancel out 15 in both numerator and denominator.

$$x=\frac{2}{32}$$

Reduce the fraction \frac{2}{32} to lowest terms by extracting and canceling out 2.

$$x=\frac{1}{16}$$