Solve 1/2(-3/2)+4

$$1 / 2 ( - 3 / 2 ) + 4$$

Evaluate

$$\frac{13}{4}=3.25$$

Solution Steps

Multiply \frac{1}{2} times -\frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\left(-3\right)}{2\times 2}+4$$

Do the multiplications in the fraction \frac{1\left(-3\right)}{2\times 2}.

$$\frac{-3}{4}+4$$

Fraction \frac{-3}{4} can be rewritten as -\frac{3}{4} by extracting the negative sign.

$$-\frac{3}{4}+4$$

Convert 4 to fraction \frac{16}{4}.

$$-\frac{3}{4}+\frac{16}{4}$$

Since -\frac{3}{4} and \frac{16}{4} have the same denominator, add them by adding their numerators.

$$\frac{-3+16}{4}$$

Add -3 and 16 to get 13.

$$\frac{13}{4}$$

Factor

$$\frac{13}{2 ^ {2}} = 3\frac{1}{4} = 3.25$$