Solve t-2/3=5/6

$$t - \frac { 2 } { 3 } = \frac { 5 } { 6 }$$

Solve for t

$$t = \frac{3}{2} = 1\frac{1}{2} = 1.5$$

Steps for Solving Linear Equation

Add \frac{2}{3} to both sides.

$$t=\frac{5}{6}+\frac{2}{3}$$

Least common multiple of 6 and 3 is 6. Convert \frac{5}{6} and \frac{2}{3} to fractions with denominator 6.

$$t=\frac{5}{6}+\frac{4}{6}$$

Since \frac{5}{6} and \frac{4}{6} have the same denominator, add them by adding their numerators.

$$t=\frac{5+4}{6}$$

Add 5 and 4 to get 9.

$$t=\frac{9}{6}$$

Reduce the fraction \frac{9}{6} to lowest terms by extracting and canceling out 3.

$$t=\frac{3}{2}$$