Solve 1/3x^1/frac{1{3}+1/3*0.75}+1/3=0.5

$$\frac { \frac { 1 } { 3 } x ^ { 1 } } { \frac { 1 } { 3 } + \frac { 1 } { 3 } \times 0.75 } + \frac { 1 } { 3 } = 0.5$$

Solve for x

$$x=\frac{7}{24}\approx 0.291666667$$

Steps for Solving Linear Equation

Calculate x to the power of 1 and get x.

$$\frac{\frac{1}{3}x}{\frac{1}{3}+\frac{1}{3}\times 0.75}+\frac{1}{3}=0.5$$

Multiply \frac{1}{3} and 0.75 to get \frac{1}{4}.

$$\frac{\frac{1}{3}x}{\frac{1}{3}+\frac{1}{4}}+\frac{1}{3}=0.5$$

Add \frac{1}{3} and \frac{1}{4} to get \frac{7}{12}.

$$\frac{\frac{1}{3}x}{\frac{7}{12}}+\frac{1}{3}=0.5$$

Divide \frac{1}{3}x by \frac{7}{12} to get \frac{4}{7}x.

$$\frac{4}{7}x+\frac{1}{3}=0.5$$

Subtract \frac{1}{3} from both sides.

$$\frac{4}{7}x=0.5-\frac{1}{3}$$

Subtract \frac{1}{3} from 0.5 to get \frac{1}{6}.

$$\frac{4}{7}x=\frac{1}{6}$$

Multiply both sides by \frac{7}{4}, the reciprocal of \frac{4}{7}.

$$x=\frac{1}{6}\times \frac{7}{4}$$

Multiply \frac{1}{6} and \frac{7}{4} to get \frac{7}{24}.

$$x=\frac{7}{24}$$