Solve (1/6*1/12*1/6*1/3*frac{7}{18})div5

$$( \frac{ 1 }{ 6 } \times \frac{ 1 }{ 12 } \times \frac{ 1 }{ 6 } \times \frac{ 1 }{ 3 } \times \frac{ 7 }{ 18 } ) \div 5$$

Evaluate

$$\frac{7}{116640}\approx 0.000060014$$

Solution Steps

Multiply \frac{1}{6} times \frac{1}{12} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{1\times 1}{6\times 12}\times \frac{1}{6}\times \frac{1}{3}\times \frac{7}{18}}{5}$$

Do the multiplications in the fraction \frac{1\times 1}{6\times 12}.

$$\frac{\frac{1}{72}\times \frac{1}{6}\times \frac{1}{3}\times \frac{7}{18}}{5}$$

Multiply \frac{1}{72} times \frac{1}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{1\times 1}{72\times 6}\times \frac{1}{3}\times \frac{7}{18}}{5}$$

Do the multiplications in the fraction \frac{1\times 1}{72\times 6}.

$$\frac{\frac{1}{432}\times \frac{1}{3}\times \frac{7}{18}}{5}$$

Multiply \frac{1}{432} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{1\times 1}{432\times 3}\times \frac{7}{18}}{5}$$

Do the multiplications in the fraction \frac{1\times 1}{432\times 3}.

$$\frac{\frac{1}{1296}\times \frac{7}{18}}{5}$$

Multiply \frac{1}{1296} times \frac{7}{18} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{1\times 7}{1296\times 18}}{5}$$

Do the multiplications in the fraction \frac{1\times 7}{1296\times 18}.

$$\frac{\frac{7}{23328}}{5}$$

Express \frac{\frac{7}{23328}}{5} as a single fraction.

$$\frac{7}{23328\times 5}$$

Multiply 23328 and 5 to get 116640.

$$\frac{7}{116640}$$

Factor

$$\frac{7}{2 ^ {5} \cdot 3 ^ {6} \cdot 5} = 6.001371742112482 \times 10^{-5}$$