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

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

Evaluate

$$\frac{2}{3}\approx 0.666666667$$

Solution Steps

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

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

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

$$\frac{1}{2}-\frac{\frac{-1}{4}}{\frac{3}{2}}$$

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

$$\frac{1}{2}-\frac{-\frac{1}{4}}{\frac{3}{2}}$$

Divide -\frac{1}{4} by \frac{3}{2} by multiplying -\frac{1}{4} by the reciprocal of \frac{3}{2}.

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

Multiply -\frac{1}{4} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{2}-\frac{-2}{4\times 3}$$

Do the multiplications in the fraction \frac{-2}{4\times 3}.

$$\frac{1}{2}-\frac{-2}{12}$$

Reduce the fraction \frac{-2}{12} to lowest terms by extracting and canceling out 2.

$$\frac{1}{2}-\left(-\frac{1}{6}\right)$$

The opposite of -\frac{1}{6} is \frac{1}{6}.

$$\frac{1}{2}+\frac{1}{6}$$

Least common multiple of 2 and 6 is 6. Convert \frac{1}{2} and \frac{1}{6} to fractions with denominator 6.

$$\frac{3}{6}+\frac{1}{6}$$

Since \frac{3}{6} and \frac{1}{6} have the same denominator, add them by adding their numerators.

$$\frac{3+1}{6}$$

Add 3 and 1 to get 4.

$$\frac{4}{6}$$

Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.

$$\frac{2}{3}$$

Factor

$$\frac{2}{3} = 0.6666666666666666$$