Solve 1/5+11h=k/m

$$\frac { 1 } { 5 } + 11 h = \frac { k } { m }$$

Solve for h

$$h=\frac{k}{11m}-\frac{1}{55}$$

$$m\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 5m, the least common multiple of 5,m.

$$5m\times \frac{1}{5}+11h\times 5m=5k$$

Multiply 5 and \frac{1}{5} to get 1.

$$m+11h\times 5m=5k$$

Multiply 11 and 5 to get 55.

$$m+55hm=5k$$

Subtract m from both sides.

$$55hm=5k-m$$

The equation is in standard form.

$$55mh=5k-m$$

Divide both sides by 55m.

$$\frac{55mh}{55m}=\frac{5k-m}{55m}$$

Dividing by 55m undoes the multiplication by 55m.

$$h=\frac{5k-m}{55m}$$

Divide 5k-m by 55m.

$$h=\frac{k}{11m}-\frac{1}{55}$$

Solve for k

$$k=\frac{m\left(55h+1\right)}{5}$$

$$m\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 5m, the least common multiple of 5,m.

$$5m\times \frac{1}{5}+11h\times 5m=5k$$

Multiply 5 and \frac{1}{5} to get 1.

$$m+11h\times 5m=5k$$

Multiply 11 and 5 to get 55.

$$m+55hm=5k$$

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

$$5k=m+55hm$$

The equation is in standard form.

$$5k=55hm+m$$

Divide both sides by 5.

$$\frac{5k}{5}=\frac{55hm+m}{5}$$

Dividing by 5 undoes the multiplication by 5.

$$k=\frac{55hm+m}{5}$$

Divide m+55mh by 5.

$$k=11hm+\frac{m}{5}$$