Solve 3(-9/2)-8

$$3 ( - 9 / 2 ) - 8$$

Evaluate

$$-\frac{43}{2}=-21.5$$

Solution Steps

Express 3\left(-\frac{9}{2}\right) as a single fraction.

$$\frac{3\left(-9\right)}{2}-8$$

Multiply 3 and -9 to get -27.

$$\frac{-27}{2}-8$$

Fraction \frac{-27}{2} can be rewritten as -\frac{27}{2} by extracting the negative sign.

$$-\frac{27}{2}-8$$

Convert 8 to fraction \frac{16}{2}.

$$-\frac{27}{2}-\frac{16}{2}$$

Since -\frac{27}{2} and \frac{16}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-27-16}{2}$$

Subtract 16 from -27 to get -43.

$$-\frac{43}{2}$$

Factor

$$-\frac{43}{2} = -21\frac{1}{2} = -21.5$$