Solve 2/5divx=3/8div28/5

$$\frac{ 2 }{ 5 } \div x = \frac{ 3 }{ 8 } \div \frac{ 28 }{ 5 }$$

Solve for x

$$x = \frac{448}{75} = 5\frac{73}{75} \approx 5.973333333$$

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.

$$\frac{2}{5}=x\times \frac{\frac{3}{8}}{\frac{28}{5}}$$

Divide \frac{3}{8} by \frac{28}{5} by multiplying \frac{3}{8} by the reciprocal of \frac{28}{5}.

$$\frac{2}{5}=x\times \frac{3}{8}\times \frac{5}{28}$$

Multiply \frac{3}{8} times \frac{5}{28} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2}{5}=x\times \frac{3\times 5}{8\times 28}$$

Do the multiplications in the fraction \frac{3\times 5}{8\times 28}.

$$\frac{2}{5}=x\times \frac{15}{224}$$

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

$$x\times \frac{15}{224}=\frac{2}{5}$$

Multiply both sides by \frac{224}{15}, the reciprocal of \frac{15}{224}.

$$x=\frac{2}{5}\times \frac{224}{15}$$

Multiply \frac{2}{5} times \frac{224}{15} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{2\times 224}{5\times 15}$$

Do the multiplications in the fraction \frac{2\times 224}{5\times 15}.

$$x=\frac{448}{75}$$