Solve 5/65/65div6*5div6

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

Evaluate

$$\frac{625}{1296}\approx 0.482253086$$

Solution Steps

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

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

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

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

Express \frac{25}{36}\times 5 as a single fraction.

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

Multiply 25 and 5 to get 125.

$$\frac{\frac{\frac{125}{36}}{6}\times 5}{6}$$

Express \frac{\frac{125}{36}}{6} as a single fraction.

$$\frac{\frac{125}{36\times 6}\times 5}{6}$$

Multiply 36 and 6 to get 216.

$$\frac{\frac{125}{216}\times 5}{6}$$

Express \frac{125}{216}\times 5 as a single fraction.

$$\frac{\frac{125\times 5}{216}}{6}$$

Multiply 125 and 5 to get 625.

$$\frac{\frac{625}{216}}{6}$$

Express \frac{\frac{625}{216}}{6} as a single fraction.

$$\frac{625}{216\times 6}$$

Multiply 216 and 6 to get 1296.

$$\frac{625}{1296}$$

Factor

$$\frac{5 ^ {4}}{2 ^ {4} \cdot 3 ^ {4}} = 0.48225308641975306$$