Solve 1-1/3-1/12-1/6-1/4

$$1 - \frac { 1 } { 3 } - \frac { 1 } { 12 } - \frac { 1 } { 6 } - \frac { 1 } { 4 }$$

Evaluate

$$\frac{1}{6}\approx 0.166666667$$

Solution Steps

Convert 1 to fraction \frac{3}{3}.

$$\frac{3}{3}-\frac{1}{3}-\frac{1}{12}-\frac{1}{6}-\frac{1}{4}$$

Since \frac{3}{3} and \frac{1}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-1}{3}-\frac{1}{12}-\frac{1}{6}-\frac{1}{4}$$

Subtract 1 from 3 to get 2.

$$\frac{2}{3}-\frac{1}{12}-\frac{1}{6}-\frac{1}{4}$$

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

$$\frac{8}{12}-\frac{1}{12}-\frac{1}{6}-\frac{1}{4}$$

Since \frac{8}{12} and \frac{1}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{8-1}{12}-\frac{1}{6}-\frac{1}{4}$$

Subtract 1 from 8 to get 7.

$$\frac{7}{12}-\frac{1}{6}-\frac{1}{4}$$

Least common multiple of 12 and 6 is 12. Convert \frac{7}{12} and \frac{1}{6} to fractions with denominator 12.

$$\frac{7}{12}-\frac{2}{12}-\frac{1}{4}$$

Since \frac{7}{12} and \frac{2}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7-2}{12}-\frac{1}{4}$$

Subtract 2 from 7 to get 5.

$$\frac{5}{12}-\frac{1}{4}$$

Least common multiple of 12 and 4 is 12. Convert \frac{5}{12} and \frac{1}{4} to fractions with denominator 12.

$$\frac{5}{12}-\frac{3}{12}$$

Since \frac{5}{12} and \frac{3}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-3}{12}$$

Subtract 3 from 5 to get 2.

$$\frac{2}{12}$$

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

$$\frac{1}{6}$$

Factor

$$\frac{1}{2 \cdot 3} = 0.16666666666666666$$