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

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

Evaluate

$$\frac{2}{3}\approx 0.666666667$$

Solution Steps

Convert 1 to fraction \frac{6}{6}.

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

Since \frac{6}{6} and \frac{1}{6} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 1 from 6 to get 5.

$$\frac{5}{6}+\frac{1}{3}-\frac{1}{2}$$

Least common multiple of 6 and 3 is 6. Convert \frac{5}{6} and \frac{1}{3} to fractions with denominator 6.

$$\frac{5}{6}+\frac{2}{6}-\frac{1}{2}$$

Since \frac{5}{6} and \frac{2}{6} have the same denominator, add them by adding their numerators.

$$\frac{5+2}{6}-\frac{1}{2}$$

Add 5 and 2 to get 7.

$$\frac{7}{6}-\frac{1}{2}$$

Least common multiple of 6 and 2 is 6. Convert \frac{7}{6} and \frac{1}{2} to fractions with denominator 6.

$$\frac{7}{6}-\frac{3}{6}$$

Since \frac{7}{6} and \frac{3}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7-3}{6}$$

Subtract 3 from 7 to get 4.

$$\frac{4}{6}$$

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

$$\frac{2}{3}$$

Factor

$$\frac{2}{3} = 0.6666666666666666$$