Solve 5/6*5/6*5/6*6/6

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

Evaluate

$$\frac{125}{216}\approx 0.578703704$$

Solution Steps

Divide 6 by 6 to get 1.

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

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

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

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

$$\frac{25}{36}\times \frac{5}{6}\times 1$$

Multiply \frac{25}{36} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{25\times 5}{36\times 6}\times 1$$

Do the multiplications in the fraction \frac{25\times 5}{36\times 6}.

$$\frac{125}{216}\times 1$$

Multiply \frac{125}{216} and 1 to get \frac{125}{216}.

$$\frac{125}{216}$$

Factor

$$\frac{5 ^ {3}}{2 ^ {3} \cdot 3 ^ {3}} = 0.5787037037037037$$