Solve f/x=g/h

$$\frac { f } { x } = \frac { g } { h }$$

Solve for f

$$f=\frac{gx}{h}$$

$$x\neq 0\text{ and }h\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by hx, the least common multiple of x,h.

$$hf=xg$$

The equation is in standard form.

$$hf=gx$$

Divide both sides by h.

$$\frac{hf}{h}=\frac{gx}{h}$$

Dividing by h undoes the multiplication by h.

$$f=\frac{gx}{h}$$

Solve for g

$$g=\frac{fh}{x}$$

$$x\neq 0\text{ and }h\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by hx, the least common multiple of x,h.

$$hf=xg$$

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

$$xg=hf$$

The equation is in standard form.

$$xg=fh$$

Divide both sides by x.

$$\frac{xg}{x}=\frac{fh}{x}$$

Dividing by x undoes the multiplication by x.

$$g=\frac{fh}{x}$$