Solve -1/2/2+2/frac{-1{2}}=

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

Evaluate

$$-\frac{17}{4}=-4.25$$

Solution Steps

Express \frac{\frac{-1}{2}}{2} as a single fraction.

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

Multiply 2 and 2 to get 4.

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

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

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

Divide 2 by \frac{-1}{2} by multiplying 2 by the reciprocal of \frac{-1}{2}.

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

Multiply 2 and 2 to get 4.

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

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

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

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

$$-\frac{1}{4}-\frac{16}{4}$$

Since -\frac{1}{4} and \frac{16}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-1-16}{4}$$

Subtract 16 from -1 to get -17.

$$-\frac{17}{4}$$

Factor

$$-\frac{17}{4} = -4\frac{1}{4} = -4.25$$