Solve 3/5*4/6*1/9

$$\frac { 3 } { 5 } \times \frac { 4 } { 6 } \times \frac { 1 } { 9 }$$

Evaluate

$$\frac{2}{45}\approx 0.044444444$$

Solution Steps

Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.

$$\frac{3}{5}\times \frac{2}{3}\times \frac{1}{9}$$

Multiply \frac{3}{5} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 2}{5\times 3}\times \frac{1}{9}$$

Cancel out 3 in both numerator and denominator.

$$\frac{2}{5}\times \frac{1}{9}$$

Multiply \frac{2}{5} times \frac{1}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 1}{5\times 9}$$

Do the multiplications in the fraction \frac{2\times 1}{5\times 9}.

$$\frac{2}{45}$$

Factor

$$\frac{2}{3 ^ {2} \cdot 5} = 0.044444444444444446$$