Solve 4/5*2*2*4/5

$$\frac { 4 } { 5 } \times 2 \times 2 \times \frac { 4 } { 5 }$$

Evaluate

$$\frac{64}{25}=2.56$$

Solution Steps

Express \frac{4}{5}\times 2 as a single fraction.

$$\frac{4\times 2}{5}\times 2\times \frac{4}{5}$$

Multiply 4 and 2 to get 8.

$$\frac{8}{5}\times 2\times \frac{4}{5}$$

Express \frac{8}{5}\times 2 as a single fraction.

$$\frac{8\times 2}{5}\times \frac{4}{5}$$

Multiply 8 and 2 to get 16.

$$\frac{16}{5}\times \frac{4}{5}$$

Multiply \frac{16}{5} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{16\times 4}{5\times 5}$$

Do the multiplications in the fraction \frac{16\times 4}{5\times 5}.

$$\frac{64}{25}$$

Factor

$$\frac{2 ^ {6}}{5 ^ {2}} = 2\frac{14}{25} = 2.56$$