Solve 1/20+1/30=1/R

$$\frac { 1 } { 20 } + \frac { 1 } { 30 } = \frac { 1 } { R }$$

Solve for R

$$R=12$$

Steps for Solving Linear Equation

Variable R cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 60R, the least common multiple of 20,30,R.

$$60R\times \frac{1}{20}+60R\times \frac{1}{30}=60$$

Multiply 60 and \frac{1}{20} to get \frac{60}{20}.

$$\frac{60}{20}R+60R\times \frac{1}{30}=60$$

Divide 60 by 20 to get 3.

$$3R+60R\times \frac{1}{30}=60$$

Multiply 60 and \frac{1}{30} to get \frac{60}{30}.

$$3R+\frac{60}{30}R=60$$

Divide 60 by 30 to get 2.

$$3R+2R=60$$

Combine 3R and 2R to get 5R.

$$5R=60$$

Divide both sides by 5.

$$R=\frac{60}{5}$$

Divide 60 by 5 to get 12.

$$R=12$$