Solve 1/8+4/6-1/2

$$\frac { 1 } { 8 } + \frac { 4 } { 6 } - \frac { 1 } { 2 }$$

Evaluate

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

Solution Steps

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

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

Least common multiple of 8 and 3 is 24. Convert \frac{1}{8} and \frac{2}{3} to fractions with denominator 24.

$$\frac{3}{24}+\frac{16}{24}-\frac{1}{2}$$

Since \frac{3}{24} and \frac{16}{24} have the same denominator, add them by adding their numerators.

$$\frac{3+16}{24}-\frac{1}{2}$$

Add 3 and 16 to get 19.

$$\frac{19}{24}-\frac{1}{2}$$

Least common multiple of 24 and 2 is 24. Convert \frac{19}{24} and \frac{1}{2} to fractions with denominator 24.

$$\frac{19}{24}-\frac{12}{24}$$

Since \frac{19}{24} and \frac{12}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{19-12}{24}$$

Subtract 12 from 19 to get 7.

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

Factor

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