Solve w-3/4=5/6

$$\frac { w - 3 } { 4 } = \frac { 5 } { 6 }$$

Solve for w

$$w = \frac{19}{3} = 6\frac{1}{3} \approx 6.333333333$$

Steps for Solving Linear Equation

Multiply both sides by 4.

$$w-3=\frac{5}{6}\times 4$$

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

$$w-3=\frac{5\times 4}{6}$$

Multiply 5 and 4 to get 20.

$$w-3=\frac{20}{6}$$

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

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

Add 3 to both sides.

$$w=\frac{10}{3}+3$$

Convert 3 to fraction \frac{9}{3}.

$$w=\frac{10}{3}+\frac{9}{3}$$

Since \frac{10}{3} and \frac{9}{3} have the same denominator, add them by adding their numerators.

$$w=\frac{10+9}{3}$$

Add 10 and 9 to get 19.

$$w=\frac{19}{3}$$