Solve 5/3*(-6)+-5/3/2=

$$\frac { 5 } { 3 } \cdot ( - 6 ) + \frac { \frac { - 5 } { 3 } } { 2 } =$$

Evaluate

$$-\frac{65}{6}\approx -10.833333333$$

Solution Steps

Express \frac{5}{3}\left(-6\right) as a single fraction.

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

Multiply 5 and -6 to get -30.

$$\frac{-30}{3}+\frac{\frac{-5}{3}}{2}$$

Divide -30 by 3 to get -10.

$$-10+\frac{\frac{-5}{3}}{2}$$

Express \frac{\frac{-5}{3}}{2} as a single fraction.

$$-10+\frac{-5}{3\times 2}$$

Multiply 3 and 2 to get 6.

$$-10+\frac{-5}{6}$$

Fraction \frac{-5}{6} can be rewritten as -\frac{5}{6} by extracting the negative sign.

$$-10-\frac{5}{6}$$

Convert -10 to fraction -\frac{60}{6}.

$$-\frac{60}{6}-\frac{5}{6}$$

Since -\frac{60}{6} and \frac{5}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-60-5}{6}$$

Subtract 5 from -60 to get -65.

$$-\frac{65}{6}$$

Factor

$$-\frac{65}{6} = -10\frac{5}{6} = -10.833333333333334$$