Solve 6/15-2/12-4/9-1/2=

$$\frac { 6 } { 15 } - \frac { 2 } { 12 } - \frac { 4 } { 9 } - \frac { 1 } { 2 } =$$

Evaluate

$$-\frac{32}{45}\approx -0.711111111$$

Solution Steps

Reduce the fraction \frac{6}{15} to lowest terms by extracting and canceling out 3.

$$\frac{2}{5}-\frac{2}{12}-\frac{4}{9}-\frac{1}{2}$$

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

$$\frac{2}{5}-\frac{1}{6}-\frac{4}{9}-\frac{1}{2}$$

Least common multiple of 5 and 6 is 30. Convert \frac{2}{5} and \frac{1}{6} to fractions with denominator 30.

$$\frac{12}{30}-\frac{5}{30}-\frac{4}{9}-\frac{1}{2}$$

Since \frac{12}{30} and \frac{5}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{12-5}{30}-\frac{4}{9}-\frac{1}{2}$$

Subtract 5 from 12 to get 7.

$$\frac{7}{30}-\frac{4}{9}-\frac{1}{2}$$

Least common multiple of 30 and 9 is 90. Convert \frac{7}{30} and \frac{4}{9} to fractions with denominator 90.

$$\frac{21}{90}-\frac{40}{90}-\frac{1}{2}$$

Since \frac{21}{90} and \frac{40}{90} have the same denominator, subtract them by subtracting their numerators.

$$\frac{21-40}{90}-\frac{1}{2}$$

Subtract 40 from 21 to get -19.

$$-\frac{19}{90}-\frac{1}{2}$$

Least common multiple of 90 and 2 is 90. Convert -\frac{19}{90} and \frac{1}{2} to fractions with denominator 90.

$$-\frac{19}{90}-\frac{45}{90}$$

Since -\frac{19}{90} and \frac{45}{90} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-19-45}{90}$$

Subtract 45 from -19 to get -64.

$$\frac{-64}{90}$$

Reduce the fraction \frac{-64}{90} to lowest terms by extracting and canceling out 2.

$$-\frac{32}{45}$$

Factor

$$-\frac{32}{45} = -0.7111111111111111$$