Solve 2/6+3/9-1/12-5/18

$$\frac{ 2 }{ 6 } + \frac{ 3 }{ 9 } - \frac{ 1 }{ 12 } - \frac{ 5 }{ 18 }$$

Evaluate

$$\frac{11}{36}\approx 0.305555556$$

Solution Steps

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

$$\frac{1}{3}+\frac{3}{9}-\frac{1}{12}-\frac{5}{18}$$

Reduce the fraction \frac{3}{9} to lowest terms by extracting and canceling out 3.

$$\frac{1}{3}+\frac{1}{3}-\frac{1}{12}-\frac{5}{18}$$

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

$$\frac{1+1}{3}-\frac{1}{12}-\frac{5}{18}$$

Add 1 and 1 to get 2.

$$\frac{2}{3}-\frac{1}{12}-\frac{5}{18}$$

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

$$\frac{8}{12}-\frac{1}{12}-\frac{5}{18}$$

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

$$\frac{8-1}{12}-\frac{5}{18}$$

Subtract 1 from 8 to get 7.

$$\frac{7}{12}-\frac{5}{18}$$

Least common multiple of 12 and 18 is 36. Convert \frac{7}{12} and \frac{5}{18} to fractions with denominator 36.

$$\frac{21}{36}-\frac{10}{36}$$

Since \frac{21}{36} and \frac{10}{36} have the same denominator, subtract them by subtracting their numerators.

$$\frac{21-10}{36}$$

Subtract 10 from 21 to get 11.

$$\frac{11}{36}$$

Factor

$$\frac{11}{2 ^ {2} \cdot 3 ^ {2}} = 0.3055555555555556$$