Solve 4/16+11/12-2/3

$$\frac{ 4 }{ 16 } + \frac{ 11 }{ 12 } - \frac{ 2 }{ 3 }$$

Evaluate

$$\frac{1}{2}=0.5$$

Solution Steps

Reduce the fraction \frac{4}{16} to lowest terms by extracting and canceling out 4.

$$\frac{1}{4}+\frac{11}{12}-\frac{2}{3}$$

Least common multiple of 4 and 12 is 12. Convert \frac{1}{4} and \frac{11}{12} to fractions with denominator 12.

$$\frac{3}{12}+\frac{11}{12}-\frac{2}{3}$$

Since \frac{3}{12} and \frac{11}{12} have the same denominator, add them by adding their numerators.

$$\frac{3+11}{12}-\frac{2}{3}$$

Add 3 and 11 to get 14.

$$\frac{14}{12}-\frac{2}{3}$$

Reduce the fraction \frac{14}{12} to lowest terms by extracting and canceling out 2.

$$\frac{7}{6}-\frac{2}{3}$$

Least common multiple of 6 and 3 is 6. Convert \frac{7}{6} and \frac{2}{3} to fractions with denominator 6.

$$\frac{7}{6}-\frac{4}{6}$$

Since \frac{7}{6} and \frac{4}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7-4}{6}$$

Subtract 4 from 7 to get 3.

$$\frac{3}{6}$$

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

$$\frac{1}{2}$$

Factor

$$\frac{1}{2} = 0.5$$