Solve 2/5divx=0.16

$$\frac{ 2 }{ 5 } \div x=0.16$$

Solve for x

$$x=2.5$$

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.

$$\frac{2}{5}=0.16x$$

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

$$0.16x=\frac{2}{5}$$

Divide both sides by 0.16.

$$x=\frac{\frac{2}{5}}{0.16}$$

Express \frac{\frac{2}{5}}{0.16} as a single fraction.

$$x=\frac{2}{5\times 0.16}$$

Multiply 5 and 0.16 to get 0.8.

$$x=\frac{2}{0.8}$$

Expand \frac{2}{0.8} by multiplying both numerator and the denominator by 10.

$$x=\frac{20}{8}$$

Reduce the fraction \frac{20}{8} to lowest terms by extracting and canceling out 4.

$$x=\frac{5}{2}$$