Solve 1/6-3/5-2/9

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

Evaluate

$$-\frac{59}{90}\approx -0.655555556$$

Solution Steps

Least common multiple of 6 and 5 is 30. Convert \frac{1}{6} and \frac{3}{5} to fractions with denominator 30.

$$\frac{5}{30}-\frac{18}{30}-\frac{2}{9}$$

Since \frac{5}{30} and \frac{18}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-18}{30}-\frac{2}{9}$$

Subtract 18 from 5 to get -13.

$$-\frac{13}{30}-\frac{2}{9}$$

Least common multiple of 30 and 9 is 90. Convert -\frac{13}{30} and \frac{2}{9} to fractions with denominator 90.

$$-\frac{39}{90}-\frac{20}{90}$$

Since -\frac{39}{90} and \frac{20}{90} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-39-20}{90}$$

Subtract 20 from -39 to get -59.

$$-\frac{59}{90}$$

Factor

$$-\frac{59}{90} = -0.6555555555555556$$