Solve 2/3+5/6-1/12

$$\frac{ 2 }{ 3 } + \frac{ 5 }{ 6 } - \frac{ 1 }{ 12 }$$

Evaluate

$$\frac{17}{12}\approx 1.416666667$$

Solution Steps

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

$$\frac{4}{6}+\frac{5}{6}-\frac{1}{12}$$

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

$$\frac{4+5}{6}-\frac{1}{12}$$

Add 4 and 5 to get 9.

$$\frac{9}{6}-\frac{1}{12}$$

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

$$\frac{3}{2}-\frac{1}{12}$$

Least common multiple of 2 and 12 is 12. Convert \frac{3}{2} and \frac{1}{12} to fractions with denominator 12.

$$\frac{18}{12}-\frac{1}{12}$$

Since \frac{18}{12} and \frac{1}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{18-1}{12}$$

Subtract 1 from 18 to get 17.

$$\frac{17}{12}$$

Factor

$$\frac{17}{2 ^ {2} \cdot 3} = 1\frac{5}{12} = 1.4166666666666667$$