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

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

Evaluate

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

Solution Steps

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

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

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

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

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

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

Cancel out 2 in both numerator and denominator.

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

Convert 1 to fraction \frac{3}{3}.

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

Since \frac{3}{3} and \frac{1}{3} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 1 from 3 to get 2.

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

Factor

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