Solve 1/2+1/6-3/8

$$\frac { 1 } { 2 } + \frac { 1 } { 6 } - \frac { 3 } { 8 }$$

Evaluate

$$\frac{7}{24}\approx 0.291666667$$

Solution Steps

Least common multiple of 2 and 6 is 6. Convert \frac{1}{2} and \frac{1}{6} to fractions with denominator 6.

$$\frac{3}{6}+\frac{1}{6}-\frac{3}{8}$$

Since \frac{3}{6} and \frac{1}{6} have the same denominator, add them by adding their numerators.

$$\frac{3+1}{6}-\frac{3}{8}$$

Add 3 and 1 to get 4.

$$\frac{4}{6}-\frac{3}{8}$$

Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.

$$\frac{2}{3}-\frac{3}{8}$$

Least common multiple of 3 and 8 is 24. Convert \frac{2}{3} and \frac{3}{8} to fractions with denominator 24.

$$\frac{16}{24}-\frac{9}{24}$$

Since \frac{16}{24} and \frac{9}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{16-9}{24}$$

Subtract 9 from 16 to get 7.

$$\frac{7}{24}$$

Factor

$$\frac{7}{2 ^ {3} \cdot 3} = 0.2916666666666667$$