Solve m/frac{m{h}}=4/3

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

Solve for h

$$h = \frac{4}{3} = 1\frac{1}{3} \approx 1.333333333$$

$$m\neq 0$$

Steps for Solving Linear Equation

Variable h cannot be equal to 0 since division by zero is not defined. Divide m by \frac{m}{h} by multiplying m by the reciprocal of \frac{m}{h}.

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

Cancel out m in both numerator and denominator.

$$h=\frac{4}{3}$$

Solve for m

$$m\neq 0$$

$$m\neq 0\text{ and }h=\frac{4}{3}$$

Steps for Solving Linear Equation

Divide m by \frac{m}{h} by multiplying m by the reciprocal of \frac{m}{h}.

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

Variable m cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 3m, the least common multiple of m,3.

$$3mh=4m$$

Reorder the terms.

$$3hm=4m$$

Subtract 4m from both sides.

$$3hm-4m=0$$

Combine all terms containing m.

$$\left(3h-4\right)m=0$$

Divide 0 by 3h-4.

$$m=0$$

Variable m cannot be equal to 0.

$$m\in \emptyset$$