Solve x+1/4=5/6

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

Solve for x

$$x = \frac{7}{3} = 2\frac{1}{3} \approx 2.333333333$$

Steps for Solving Linear Equation

Multiply both sides by 4.

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

Express \frac{5}{6}\times 4 as a single fraction.

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

Multiply 5 and 4 to get 20.

$$x+1=\frac{20}{6}$$

Reduce the fraction \frac{20}{6} to lowest terms by extracting and canceling out 2.

$$x+1=\frac{10}{3}$$

Subtract 1 from both sides.

$$x=\frac{10}{3}-1$$

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

$$x=\frac{10}{3}-\frac{3}{3}$$

Since \frac{10}{3} and \frac{3}{3} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{10-3}{3}$$

Subtract 3 from 10 to get 7.

$$x=\frac{7}{3}$$