Solve 1/25+1/5+1000/33026=1/R

$$\frac { 1 } { 25 } + \frac { 1 } { 5 } + \frac { 1000 } { 33026 } = \frac { 1 } { R }$$

Solve for R

$$R = \frac{412825}{111578} = 3\frac{78091}{111578} \approx 3.699878112$$

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 825650R, the least common multiple of 25,5,33026,R.

$$825650R\times \frac{1}{25}+825650R\times \frac{1}{5}+25R\times 1000=825650$$

Multiply 825650 and \frac{1}{25} to get \frac{825650}{25}.

$$\frac{825650}{25}R+825650R\times \frac{1}{5}+25R\times 1000=825650$$

Divide 825650 by 25 to get 33026.

$$33026R+825650R\times \frac{1}{5}+25R\times 1000=825650$$

Multiply 825650 and \frac{1}{5} to get \frac{825650}{5}.

$$33026R+\frac{825650}{5}R+25R\times 1000=825650$$

Divide 825650 by 5 to get 165130.

$$33026R+165130R+25R\times 1000=825650$$

Combine 33026R and 165130R to get 198156R.

$$198156R+25R\times 1000=825650$$

Multiply 25 and 1000 to get 25000.

$$198156R+25000R=825650$$

Combine 198156R and 25000R to get 223156R.

$$223156R=825650$$

Divide both sides by 223156.

$$R=\frac{825650}{223156}$$

Reduce the fraction \frac{825650}{223156} to lowest terms by extracting and canceling out 2.

$$R=\frac{412825}{111578}$$