Solve 7/12-1/4-2/9

$$\frac { 7 } { 12 } - \frac { 1 } { 4 } - \frac { 2 } { 9 }$$

Evaluate

$$\frac{1}{9}\approx 0.111111111$$

Solution Steps

Least common multiple of 12 and 4 is 12. Convert \frac{7}{12} and \frac{1}{4} to fractions with denominator 12.

$$\frac{7}{12}-\frac{3}{12}-\frac{2}{9}$$

Since \frac{7}{12} and \frac{3}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7-3}{12}-\frac{2}{9}$$

Subtract 3 from 7 to get 4.

$$\frac{4}{12}-\frac{2}{9}$$

Reduce the fraction \frac{4}{12} to lowest terms by extracting and canceling out 4.

$$\frac{1}{3}-\frac{2}{9}$$

Least common multiple of 3 and 9 is 9. Convert \frac{1}{3} and \frac{2}{9} to fractions with denominator 9.

$$\frac{3}{9}-\frac{2}{9}$$

Since \frac{3}{9} and \frac{2}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-2}{9}$$

Subtract 2 from 3 to get 1.

$$\frac{1}{9}$$

Factor

$$\frac{1}{3 ^ {2}} = 0.1111111111111111$$