Solve 1/R=1/6+1/3

$$\frac { 1 } { R } = \frac { 1 } { 6 } + \frac { 1 } { 3 }$$

Solve for R

$$R=2$$

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 6R, the least common multiple of R,6,3.

$$6=6R\times \frac{1}{6}+6R\times \frac{1}{3}$$

Cancel out 6 and 6.

$$6=R+6R\times \frac{1}{3}$$

Multiply 6 and \frac{1}{3} to get \frac{6}{3}.

$$6=R+\frac{6}{3}R$$

Divide 6 by 3 to get 2.

$$6=R+2R$$

Combine R and 2R to get 3R.

$$6=3R$$

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

$$3R=6$$

Divide both sides by 3.

$$R=\frac{6}{3}$$

Divide 6 by 3 to get 2.

$$R=2$$