Solve 1*5/6+2/3-1/6

$$1 \cdot \frac { 5 } { 6 } + \frac { 2 } { 3 } - \frac { 1 } { 6 }$$

Evaluate

$$\frac{4}{3}\approx 1.333333333$$

Solution Steps

Multiply 1 and \frac{5}{6} to get \frac{5}{6}.

$$\frac{5}{6}+\frac{2}{3}-\frac{1}{6}$$

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

$$\frac{5}{6}+\frac{4}{6}-\frac{1}{6}$$

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

$$\frac{5+4}{6}-\frac{1}{6}$$

Add 5 and 4 to get 9.

$$\frac{9}{6}-\frac{1}{6}$$

Since \frac{9}{6} and \frac{1}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9-1}{6}$$

Subtract 1 from 9 to get 8.

$$\frac{8}{6}$$

Reduce the fraction \frac{8}{6} to lowest terms by extracting and canceling out 2.

$$\frac{4}{3}$$

Factor

$$\frac{2 ^ {2}}{3} = 1\frac{1}{3} = 1.3333333333333333$$