Solve 1/R=1/32+1/5

$$\frac { 1 } { R } = \frac { 1 } { 32 } + \frac { 1 } { 5 }$$

Solve for R

$$R = \frac{160}{37} = 4\frac{12}{37} \approx 4.324324324$$

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 160R, the least common multiple of R,32,5.

$$160=160R\times \frac{1}{32}+160R\times \frac{1}{5}$$

Multiply 160 and \frac{1}{32} to get \frac{160}{32}.

$$160=\frac{160}{32}R+160R\times \frac{1}{5}$$

Divide 160 by 32 to get 5.

$$160=5R+160R\times \frac{1}{5}$$

Multiply 160 and \frac{1}{5} to get \frac{160}{5}.

$$160=5R+\frac{160}{5}R$$

Divide 160 by 5 to get 32.

$$160=5R+32R$$

Combine 5R and 32R to get 37R.

$$160=37R$$

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

$$37R=160$$

Divide both sides by 37.

$$R=\frac{160}{37}$$