Solve 25/64*64/729*162/25

$$\frac { 25 } { 64 } \times \frac { 64 } { 729 } \times \frac { 162 } { 25 }$$

Evaluate

$$\frac{2}{9}\approx 0.222222222$$

Solution Steps

Multiply \frac{25}{64} times \frac{64}{729} by multiplying numerator times numerator and denominator times denominator.

$$\frac{25\times 64}{64\times 729}\times \frac{162}{25}$$

Cancel out 64 in both numerator and denominator.

$$\frac{25}{729}\times \frac{162}{25}$$

Multiply \frac{25}{729} times \frac{162}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{25\times 162}{729\times 25}$$

Cancel out 25 in both numerator and denominator.

$$\frac{162}{729}$$

Reduce the fraction \frac{162}{729} to lowest terms by extracting and canceling out 81.

$$\frac{2}{9}$$

Factor

$$\frac{2}{3 ^ {2}} = 0.2222222222222222$$