Solve h=r*1/1+frac{s{t}}

$$h = r \cdot \frac { 1 } { 1 + \frac { s } { t } }$$

Solve for r

$$r=\frac{h\left(s+t\right)}{t}$$

$$s\neq -t\text{ and }t\neq 0$$

Steps for Solving Linear Equation

To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{t}{t}.

$$h=r\times \frac{1}{\frac{t}{t}+\frac{s}{t}}$$

Since \frac{t}{t} and \frac{s}{t} have the same denominator, add them by adding their numerators.

$$h=r\times \frac{1}{\frac{t+s}{t}}$$

Divide 1 by \frac{t+s}{t} by multiplying 1 by the reciprocal of \frac{t+s}{t}.

$$h=r\times \frac{t}{t+s}$$

Express r\times \frac{t}{t+s} as a single fraction.

$$h=\frac{rt}{t+s}$$

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

$$\frac{rt}{t+s}=h$$

Multiply both sides of the equation by s+t.

$$rt=h\left(s+t\right)$$

Use the distributive property to multiply h by s+t.

$$rt=hs+ht$$

The equation is in standard form.

$$tr=hs+ht$$

Divide both sides by t.

$$\frac{tr}{t}=\frac{h\left(s+t\right)}{t}$$

Dividing by t undoes the multiplication by t.

$$r=\frac{h\left(s+t\right)}{t}$$

Solve for h

$$h=\frac{rt}{s+t}$$

$$s\neq -t\text{ and }t\neq 0$$