Solve (1/2-3/8-1/12)

$$( \frac { 1 } { 2 } - \frac { 3 } { 8 } - \frac { 1 } { 12 } )$$

Evaluate

$$\frac{1}{24}\approx 0.041666667$$

Solution Steps

Least common multiple of 2 and 8 is 8. Convert \frac{1}{2} and \frac{3}{8} to fractions with denominator 8.

$$\frac{4}{8}-\frac{3}{8}-\frac{1}{12}$$

Since \frac{4}{8} and \frac{3}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4-3}{8}-\frac{1}{12}$$

Subtract 3 from 4 to get 1.

$$\frac{1}{8}-\frac{1}{12}$$

Least common multiple of 8 and 12 is 24. Convert \frac{1}{8} and \frac{1}{12} to fractions with denominator 24.

$$\frac{3}{24}-\frac{2}{24}$$

Since \frac{3}{24} and \frac{2}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-2}{24}$$

Subtract 2 from 3 to get 1.

$$\frac{1}{24}$$

Factor

$$\frac{1}{2 ^ {3} \cdot 3} = 0.041666666666666664$$