Solve 1/2divx=1/5div1/6

$$\frac{ 1 }{ 2 } \div x= \frac{ 1 }{ 5 } \div \frac{ 1 }{ 6 }$$

Solve for x

$$x=\frac{5}{12}\approx 0.416666667$$

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.

$$\frac{1}{2}=x\times \frac{\frac{1}{5}}{\frac{1}{6}}$$

Divide \frac{1}{5} by \frac{1}{6} by multiplying \frac{1}{5} by the reciprocal of \frac{1}{6}.

$$\frac{1}{2}=x\times \frac{1}{5}\times 6$$

Multiply \frac{1}{5} and 6 to get \frac{6}{5}.

$$\frac{1}{2}=x\times \frac{6}{5}$$

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

$$x\times \frac{6}{5}=\frac{1}{2}$$

Multiply both sides by \frac{5}{6}, the reciprocal of \frac{6}{5}.

$$x=\frac{1}{2}\times \frac{5}{6}$$

Multiply \frac{1}{2} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{1\times 5}{2\times 6}$$

Do the multiplications in the fraction \frac{1\times 5}{2\times 6}.

$$x=\frac{5}{12}$$