Solve m/n=4/3=

$$\frac { m } { n } = \frac { 4 } { 3 } =$$

Solve for m

$$m=\frac{4n}{3}$$

$$n\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3n, the least common multiple of n,3.

$$3m=4n$$

Divide both sides by 3.

$$\frac{3m}{3}=\frac{4n}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$m=\frac{4n}{3}$$

Solve for n

$$n=\frac{3m}{4}$$

$$m\neq 0$$

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 3n, the least common multiple of n,3.

$$3m=4n$$

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

$$4n=3m$$

Divide both sides by 4.

$$\frac{4n}{4}=\frac{3m}{4}$$

Dividing by 4 undoes the multiplication by 4.

$$n=\frac{3m}{4}$$

Variable n cannot be equal to 0.

$$n=\frac{3m}{4}\text{, }n\neq 0$$