Solve 1/n(2*5/1*5)=1/18

$$\frac { 1 } { n } ( \frac { 2 \cdot 5 } { 1 \cdot 5 } ) = \frac { 1 } { 18 }$$

Solve for n

$$n=36$$

Steps for Solving Linear Equation

Variable n cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 18n, the least common multiple of n,18.

$$18\times 1\times \frac{2\times 5}{1\times 5}=n$$

Multiply 18 and 1 to get 18.

$$18\times \frac{2\times 5}{1\times 5}=n$$

Cancel out 5 in both numerator and denominator.

$$18\times 2=n$$

Multiply 18 and 2 to get 36.

$$36=n$$

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

$$n=36$$