Solve 1/u=1/25+1/15

$$\frac { 1 } { u } = \frac { 1 } { 25 } + \frac { 1 } { 15 }$$

Solve for u

$$u = \frac{75}{8} = 9\frac{3}{8} = 9.375$$

Steps for Solving Linear Equation

Variable u cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 75u, the least common multiple of u,25,15.

$$75=75u\times \frac{1}{25}+75u\times \frac{1}{15}$$

Multiply 75 and \frac{1}{25} to get \frac{75}{25}.

$$75=\frac{75}{25}u+75u\times \frac{1}{15}$$

Divide 75 by 25 to get 3.

$$75=3u+75u\times \frac{1}{15}$$

Multiply 75 and \frac{1}{15} to get \frac{75}{15}.

$$75=3u+\frac{75}{15}u$$

Divide 75 by 15 to get 5.

$$75=3u+5u$$

Combine 3u and 5u to get 8u.

$$75=8u$$

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

$$8u=75$$

Divide both sides by 8.

$$u=\frac{75}{8}$$