Solve -7/3-5/6=

$$\frac { - 7 } { 3 } - \frac { 5 } { 6 } =$$

Evaluate

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

Solution Steps

Fraction \frac{-7}{3} can be rewritten as -\frac{7}{3} by extracting the negative sign.

$$-\frac{7}{3}-\frac{5}{6}$$

Least common multiple of 3 and 6 is 6. Convert -\frac{7}{3} and \frac{5}{6} to fractions with denominator 6.

$$-\frac{14}{6}-\frac{5}{6}$$

Since -\frac{14}{6} and \frac{5}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-14-5}{6}$$

Subtract 5 from -14 to get -19.

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

Factor

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