Solve 2x+1/4=2/3

$$\frac { 2 x + 1 } { 4 } = \frac { 2 } { 3 }$$

Solve for x

$$x=\frac{5}{6}\approx 0.833333333$$

Steps for Solving Linear Equation

Multiply both sides by 4.

$$2x+1=\frac{2}{3}\times 4$$

Express \frac{2}{3}\times 4 as a single fraction.

$$2x+1=\frac{2\times 4}{3}$$

Multiply 2 and 4 to get 8.

$$2x+1=\frac{8}{3}$$

Subtract 1 from both sides.

$$2x=\frac{8}{3}-1$$

Convert 1 to fraction \frac{3}{3}.

$$2x=\frac{8}{3}-\frac{3}{3}$$

Since \frac{8}{3} and \frac{3}{3} have the same denominator, subtract them by subtracting their numerators.

$$2x=\frac{8-3}{3}$$

Subtract 3 from 8 to get 5.

$$2x=\frac{5}{3}$$

Divide both sides by 2.

$$x=\frac{\frac{5}{3}}{2}$$

Express \frac{\frac{5}{3}}{2} as a single fraction.

$$x=\frac{5}{3\times 2}$$

Multiply 3 and 2 to get 6.

$$x=\frac{5}{6}$$