Solve 6(-5/12)-2/3

$$6 ( - \frac { 5 } { 12 } ) - \frac { 2 } { 3 }$$

Evaluate

$$-\frac{19}{6}\approx -3.166666667$$

Solution Steps

Express 6\left(-\frac{5}{12}\right) as a single fraction.

$$\frac{6\left(-5\right)}{12}-\frac{2}{3}$$

Multiply 6 and -5 to get -30.

$$\frac{-30}{12}-\frac{2}{3}$$

Reduce the fraction \frac{-30}{12} to lowest terms by extracting and canceling out 6.

$$-\frac{5}{2}-\frac{2}{3}$$

Least common multiple of 2 and 3 is 6. Convert -\frac{5}{2} and \frac{2}{3} to fractions with denominator 6.

$$-\frac{15}{6}-\frac{4}{6}$$

Since -\frac{15}{6} and \frac{4}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-15-4}{6}$$

Subtract 4 from -15 to get -19.

$$-\frac{19}{6}$$

Factor

$$-\frac{19}{6} = -3\frac{1}{6} = -3.1666666666666665$$