Solve 1/2*1/2*2/3*1/2

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

Evaluate

$$\frac{1}{12}\approx 0.083333333$$

Solution Steps

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

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

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

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

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

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

Do the multiplications in the fraction \frac{1\times 2}{4\times 3}.

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

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

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

Multiply \frac{1}{6} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{1\times 1}{6\times 2}.

$$\frac{1}{12}$$

Factor

$$\frac{1}{2 ^ {2} \cdot 3} = 0.08333333333333333$$