Solve 1/2a/frac{1{3}a}*1/2a/-a

$$\frac { \frac { 1 } { 2 } a } { \frac { 1 } { 3 } a } \times \frac { \frac { 1 } { 2 } a } { - a }$$

Evaluate

$$-\frac{3}{4}=-0.75$$

Solution Steps

Cancel out a in both numerator and denominator.

$$\frac{\frac{1}{2}}{\frac{1}{3}}\times \frac{\frac{1}{2}a}{-a}$$

Divide \frac{1}{2} by \frac{1}{3} by multiplying \frac{1}{2} by the reciprocal of \frac{1}{3}.

$$\frac{1}{2}\times 3\times \frac{\frac{1}{2}a}{-a}$$

Multiply \frac{1}{2} and 3 to get \frac{3}{2}.

$$\frac{3}{2}\times \frac{\frac{1}{2}a}{-a}$$

Cancel out a in both numerator and denominator.

$$\frac{3}{2}\times \frac{\frac{1}{2}}{-1}$$

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

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

Multiply 2 and -1 to get -2.

$$\frac{3}{2}\times \frac{1}{-2}$$

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

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

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

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

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

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

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

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

Factor

$$-\frac{3}{4} = -0.75$$