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

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

Evaluate

$$-\frac{33}{2}=-16.5$$

Solution Steps

Express \frac{5}{2}\left(-6\right) as a single fraction.

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

Multiply 5 and -6 to get -30.

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

Divide -30 by 2 to get -15.

$$-15+\frac{-3}{2}$$

Fraction \frac{-3}{2} can be rewritten as -\frac{3}{2} by extracting the negative sign.

$$-15-\frac{3}{2}$$

Convert -15 to fraction -\frac{30}{2}.

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

Since -\frac{30}{2} and \frac{3}{2} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 3 from -30 to get -33.

$$-\frac{33}{2}$$

Factor

$$-\frac{33}{2} = -16\frac{1}{2} = -16.5$$