Solve 2/5div1/2x=2/11

$$\frac { 2 } { 5 } \div \frac { 1 } { 2 x } = \frac { 2 } { 11 }$$

Solve for x

$$x=\frac{5}{22}\approx 0.227272727$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Divide \frac{2}{5} by \frac{1}{2x} by multiplying \frac{2}{5} by the reciprocal of \frac{1}{2x}.

$$\frac{2\times 2x}{5}=\frac{2}{11}$$

Multiply 2 and 2 to get 4.

$$\frac{4x}{5}=\frac{2}{11}$$

Multiply both sides by 5.

$$4x=\frac{2}{11}\times 5$$

Multiply \frac{2}{11} and 5 to get \frac{10}{11}.

$$4x=\frac{10}{11}$$

Divide both sides by 4.

$$x=\frac{\frac{10}{11}}{4}$$

Express \frac{\frac{10}{11}}{4} as a single fraction.

$$x=\frac{10}{11\times 4}$$

Multiply 11 and 4 to get 44.

$$x=\frac{10}{44}$$

Reduce the fraction \frac{10}{44} to lowest terms by extracting and canceling out 2.

$$x=\frac{5}{22}$$