Solve -a/4/frac{a{2}}

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

Evaluate

$$-\frac{1}{2}=-0.5$$

Solution Steps

Divide -\frac{a}{4} by \frac{a}{2} by multiplying -\frac{a}{4} by the reciprocal of \frac{a}{2}.

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

Cancel out 4, the greatest common factor in 2 and 4.

$$\frac{\frac{a}{-2}}{a}$$

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

$$\frac{a}{-2a}$$

Cancel out a in both numerator and denominator.

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

Fraction \frac{1}{-2} can be rewritten as -\frac{1}{2} by extracting the negative sign.

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

Factor

$$-\frac{1}{2} = -0.5$$