Solve (1/12)(6/54)(2/36)

$$( \frac{ 1 }{ 12 } )( \frac{ 6 }{ 54 } )( \frac{ 2 }{ 36 } )$$

Evaluate

$$\frac{1}{1944}\approx 0.000514403$$

Solution Steps

Reduce the fraction \frac{6}{54} to lowest terms by extracting and canceling out 6.

$$\frac{1}{12}\times \frac{1}{9}\times \frac{2}{36}$$

Multiply \frac{1}{12} times \frac{1}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 1}{12\times 9}\times \frac{2}{36}$$

Do the multiplications in the fraction \frac{1\times 1}{12\times 9}.

$$\frac{1}{108}\times \frac{2}{36}$$

Reduce the fraction \frac{2}{36} to lowest terms by extracting and canceling out 2.

$$\frac{1}{108}\times \frac{1}{18}$$

Multiply \frac{1}{108} times \frac{1}{18} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 1}{108\times 18}$$

Do the multiplications in the fraction \frac{1\times 1}{108\times 18}.

$$\frac{1}{1944}$$

Factor

$$\frac{1}{2 ^ {3} \cdot 3 ^ {5}} = 0.00051440329218107$$