Solve 2/3*1/3*3/4*1/6

$$\frac { 2 } { 3 } \times \frac { 1 } { 3 } \times \frac { 3 } { 4 } \times \frac { 1 } { 6 }$$

Evaluate

$$\frac{1}{36}\approx 0.027777778$$

Solution Steps

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

$$\frac{2\times 1}{3\times 3}\times \frac{3}{4}\times \frac{1}{6}$$

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

$$\frac{2}{9}\times \frac{3}{4}\times \frac{1}{6}$$

Multiply \frac{2}{9} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 3}{9\times 4}\times \frac{1}{6}$$

Do the multiplications in the fraction \frac{2\times 3}{9\times 4}.

$$\frac{6}{36}\times \frac{1}{6}$$

Reduce the fraction \frac{6}{36} to lowest terms by extracting and canceling out 6.

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

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

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

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

$$\frac{1}{36}$$

Factor

$$\frac{1}{2 ^ {2} \cdot 3 ^ {2}} = 0.027777777777777776$$