Solve 2/3*4/5*0.9

$$\frac { 2 } { 3 } \times \frac { 4 } { 5 } \times 0.9$$

Evaluate

$$0.48$$

Solution Steps

Multiply \frac{2}{3} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 4}{3\times 5}\times 0.9$$

Do the multiplications in the fraction \frac{2\times 4}{3\times 5}.

$$\frac{8}{15}\times 0.9$$

Convert decimal number 0.9 to fraction \frac{9}{10}.

$$\frac{8}{15}\times \frac{9}{10}$$

Multiply \frac{8}{15} times \frac{9}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8\times 9}{15\times 10}$$

Do the multiplications in the fraction \frac{8\times 9}{15\times 10}.

$$\frac{72}{150}$$

Reduce the fraction \frac{72}{150} to lowest terms by extracting and canceling out 6.

$$\frac{12}{25}$$

Factor

$$\frac{3 \cdot 2 ^ {2}}{5 ^ {2}} = 0.48$$