Solve 1/k=m/n

$$\frac { 1 } { k } = \frac { m } { n }$$

Solve for k

$$k=\frac{n}{m}$$

$$n\neq 0\text{ and }m\neq 0$$

Steps for Solving Linear Equation

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

$$n=km$$

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

$$km=n$$

The equation is in standard form.

$$mk=n$$

Divide both sides by m.

$$\frac{mk}{m}=\frac{n}{m}$$

Dividing by m undoes the multiplication by m.

$$k=\frac{n}{m}$$

Variable k cannot be equal to 0.

$$k=\frac{n}{m}\text{, }k\neq 0$$

Solve for m

$$m=\frac{n}{k}$$

$$k\neq 0\text{ and }n\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by kn, the least common multiple of k,n.

$$n=km$$

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

$$km=n$$

Divide both sides by k.

$$\frac{km}{k}=\frac{n}{k}$$

Dividing by k undoes the multiplication by k.

$$m=\frac{n}{k}$$