Solve 1/6+1/6*1/6*5/6*frac{5}{6}

$$\frac { 1 } { 6 } + \frac { 1 } { 6 } \times \frac { 1 } { 6 } \times \frac { 5 } { 6 } \times \frac { 5 } { 6 }$$

Evaluate

$$\frac{241}{1296}\approx 0.18595679$$

Solution Steps

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

$$\frac{1}{6}+\frac{1\times 1}{6\times 6}\times \frac{5}{6}\times \frac{5}{6}$$

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

$$\frac{1}{6}+\frac{1}{36}\times \frac{5}{6}\times \frac{5}{6}$$

Multiply \frac{1}{36} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{6}+\frac{1\times 5}{36\times 6}\times \frac{5}{6}$$

Do the multiplications in the fraction \frac{1\times 5}{36\times 6}.

$$\frac{1}{6}+\frac{5}{216}\times \frac{5}{6}$$

Multiply \frac{5}{216} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{6}+\frac{5\times 5}{216\times 6}$$

Do the multiplications in the fraction \frac{5\times 5}{216\times 6}.

$$\frac{1}{6}+\frac{25}{1296}$$

Least common multiple of 6 and 1296 is 1296. Convert \frac{1}{6} and \frac{25}{1296} to fractions with denominator 1296.

$$\frac{216}{1296}+\frac{25}{1296}$$

Since \frac{216}{1296} and \frac{25}{1296} have the same denominator, add them by adding their numerators.

$$\frac{216+25}{1296}$$

Add 216 and 25 to get 241.

$$\frac{241}{1296}$$

Factor

$$\frac{241}{2 ^ {4} \cdot 3 ^ {4}} = 0.18595679012345678$$