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

$$\frac{1}{3}\approx 0.333333333$$

Solution Steps

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

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

Do the multiplications in the fraction \frac{1\times 1}{2\times 2}.

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

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

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

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

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

Do the multiplications in the fraction \frac{1\times 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.

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

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, subtract them by subtracting their numerators.

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

Subtract 1 from 3 to get 2.

$$\frac{2}{6}$$

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

$$\frac{1}{3}$$

Factor

$$\frac{1}{3} = 0.3333333333333333$$