Solve 3(-11/2)+2

$$3(-1 \frac{ 1 }{ 2 } )+2$$

Evaluate

$$-\frac{5}{2}=-2.5$$

Solution Steps

Multiply 1 and 2 to get 2.

$$3\left(-\frac{2+1}{2}\right)+2$$

Add 2 and 1 to get 3.

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

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

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

Multiply 3 and -3 to get -9.

$$\frac{-9}{2}+2$$

Fraction \frac{-9}{2} can be rewritten as -\frac{9}{2} by extracting the negative sign.

$$-\frac{9}{2}+2$$

Convert 2 to fraction \frac{4}{2}.

$$-\frac{9}{2}+\frac{4}{2}$$

Since -\frac{9}{2} and \frac{4}{2} have the same denominator, add them by adding their numerators.

$$\frac{-9+4}{2}$$

Add -9 and 4 to get -5.

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

Factor

$$-\frac{5}{2} = -2\frac{1}{2} = -2.5$$