Solve 1/4=1/2u-1/20

$$\frac { 1 } { 4 } = \frac { 1 } { 2 u } - \frac { 1 } { 20 }$$

Solve for u

$$u = \frac{5}{3} = 1\frac{2}{3} \approx 1.666666667$$

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 20u, the least common multiple of 4,2u,20.

$$5u=10+20u\left(-\frac{1}{20}\right)$$

Multiply 20 and -\frac{1}{20} to get -1.

$$5u=10-u$$

Add u to both sides.

$$5u+u=10$$

Combine 5u and u to get 6u.

$$6u=10$$

Divide both sides by 6.

$$u=\frac{10}{6}$$

Reduce the fraction \frac{10}{6} to lowest terms by extracting and canceling out 2.

$$u=\frac{5}{3}$$