Solve 1/4*6/9*2/3

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

Evaluate

$$\frac{1}{9}\approx 0.111111111$$

Solution Steps

Reduce the fraction \frac{6}{9} to lowest terms by extracting and canceling out 3.

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

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

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

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

$$\frac{2}{12}\times \frac{2}{3}$$

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

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

Multiply \frac{1}{6} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{1\times 2}{6\times 3}.

$$\frac{2}{18}$$

Reduce the fraction \frac{2}{18} to lowest terms by extracting and canceling out 2.

$$\frac{1}{9}$$

Factor

$$\frac{1}{3 ^ {2}} = 0.1111111111111111$$