Solve 2(-7/2)+3(-3/2)

$$2(- \frac{ 7 }{ 2 } )+3(- \frac{ 3 }{ 2 } )$$

Evaluate

$$-\frac{23}{2}=-11.5$$

Solution Steps

Cancel out 2 and 2.

$$-7+3\left(-\frac{3}{2}\right)$$

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

$$-7+\frac{3\left(-3\right)}{2}$$

Multiply 3 and -3 to get -9.

$$-7+\frac{-9}{2}$$

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

$$-7-\frac{9}{2}$$

Convert -7 to fraction -\frac{14}{2}.

$$-\frac{14}{2}-\frac{9}{2}$$

Since -\frac{14}{2} and \frac{9}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-14-9}{2}$$

Subtract 9 from -14 to get -23.

$$-\frac{23}{2}$$

Factor

$$-\frac{23}{2} = -11\frac{1}{2} = -11.5$$