Solve 1/4x+4/5=5/6

$$\frac { 1 } { 4 } x + \frac { 4 } { 5 } = \frac { 5 } { 6 }$$

Solve for x

$$x=\frac{2}{15}\approx 0.133333333$$

Steps for Solving Linear Equation

Subtract \frac{4}{5} from both sides.

$$\frac{1}{4}x=\frac{5}{6}-\frac{4}{5}$$

Least common multiple of 6 and 5 is 30. Convert \frac{5}{6} and \frac{4}{5} to fractions with denominator 30.

$$\frac{1}{4}x=\frac{25}{30}-\frac{24}{30}$$

Since \frac{25}{30} and \frac{24}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1}{4}x=\frac{25-24}{30}$$

Subtract 24 from 25 to get 1.

$$\frac{1}{4}x=\frac{1}{30}$$

Multiply both sides by 4, the reciprocal of \frac{1}{4}.

$$x=\frac{1}{30}\times 4$$

Multiply \frac{1}{30} and 4 to get \frac{4}{30}.

$$x=\frac{4}{30}$$

Reduce the fraction \frac{4}{30} to lowest terms by extracting and canceling out 2.

$$x=\frac{2}{15}$$