Solve (1/6+3/6)-1/4

$$( \frac { 1 } { 6 } + \frac { 3 } { 6 } ) - \frac { 1 } { 4 }$$

Evaluate

$$\frac{5}{12}\approx 0.416666667$$

Solution Steps

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

$$\frac{1+3}{6}-\frac{1}{4}$$

Add 1 and 3 to get 4.

$$\frac{4}{6}-\frac{1}{4}$$

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

$$\frac{2}{3}-\frac{1}{4}$$

Least common multiple of 3 and 4 is 12. Convert \frac{2}{3} and \frac{1}{4} to fractions with denominator 12.

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

Since \frac{8}{12} and \frac{3}{12} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 3 from 8 to get 5.

$$\frac{5}{12}$$

Factor

$$\frac{5}{2 ^ {2} \cdot 3} = 0.4166666666666667$$