Solve 1/u+1/8=1/6

$$\frac { 1 } { u } + \frac { 1 } { 8 } = \frac { 1 } { 6 }$$

Solve for u

$$u=24$$

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 24u, the least common multiple of u,8,6.

$$24+24u\times \frac{1}{8}=4u$$

Multiply 24 and \frac{1}{8} to get \frac{24}{8}.

$$24+\frac{24}{8}u=4u$$

Divide 24 by 8 to get 3.

$$24+3u=4u$$

Subtract 4u from both sides.

$$24+3u-4u=0$$

Combine 3u and -4u to get -u.

$$24-u=0$$

Subtract 24 from both sides. Anything subtracted from zero gives its negation.

$$-u=-24$$

Multiply both sides by -1.

$$u=24$$