Solve 6/12*(11/12)^2*1/12

$$\frac { 6 } { 12 } \times ( \frac { 11 } { 12 } ) ^ { 2 } \times \frac { 1 } { 12 }$$

Evaluate

$$\frac{121}{3456}\approx 0.035011574$$

Solution Steps

Reduce the fraction \frac{6}{12} to lowest terms by extracting and canceling out 6.

$$\frac{1}{2}\times \left(\frac{11}{12}\right)^{2}\times \frac{1}{12}$$

Calculate \frac{11}{12} to the power of 2 and get \frac{121}{144}.

$$\frac{1}{2}\times \frac{121}{144}\times \frac{1}{12}$$

Multiply \frac{1}{2} times \frac{121}{144} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 121}{2\times 144}\times \frac{1}{12}$$

Do the multiplications in the fraction \frac{1\times 121}{2\times 144}.

$$\frac{121}{288}\times \frac{1}{12}$$

Multiply \frac{121}{288} times \frac{1}{12} by multiplying numerator times numerator and denominator times denominator.

$$\frac{121\times 1}{288\times 12}$$

Do the multiplications in the fraction \frac{121\times 1}{288\times 12}.

$$\frac{121}{3456}$$

Factor

$$\frac{11 ^ {2}}{2 ^ {7} \cdot 3 ^ {3}} = 0.03501157407407408$$