Solve 1/2*-1/2+4*-1/2

$$\frac{ 1 }{ 2 } \times - \frac{ 1 }{ 2 } +4 \times - \frac{ 1 }{ 2 }$$

Evaluate

$$-\frac{9}{4}=-2.25$$

Solution Steps

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

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

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

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

Fraction \frac{-1}{4} can be rewritten as -\frac{1}{4} by extracting the negative sign.

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

Express 4\left(-\frac{1}{2}\right) as a single fraction.

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

Multiply 4 and -1 to get -4.

$$-\frac{1}{4}+\frac{-4}{2}$$

Divide -4 by 2 to get -2.

$$-\frac{1}{4}-2$$

Convert 2 to fraction \frac{8}{4}.

$$-\frac{1}{4}-\frac{8}{4}$$

Since -\frac{1}{4} and \frac{8}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-1-8}{4}$$

Subtract 8 from -1 to get -9.

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

Factor

$$-\frac{9}{4} = -2\frac{1}{4} = -2.25$$