Solve 0.64/0.72*0.8

$$\frac { 0.64 } { 0.72 } \times 0.8$$

Evaluate

$$\frac{32}{45}\approx 0.711111111$$

Solution Steps

Expand \frac{0.64}{0.72} by multiplying both numerator and the denominator by 100.

$$\frac{64}{72}\times 0.8$$

Reduce the fraction \frac{64}{72} to lowest terms by extracting and canceling out 8.

$$\frac{8}{9}\times 0.8$$

Convert decimal number 0.8 to fraction \frac{8}{10}. Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.

$$\frac{8}{9}\times \frac{4}{5}$$

Multiply \frac{8}{9} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8\times 4}{9\times 5}$$

Do the multiplications in the fraction \frac{8\times 4}{9\times 5}.

$$\frac{32}{45}$$

Factor

$$\frac{2 ^ {5}}{5 \cdot 3 ^ {2}} = 0.7111111111111111$$