Solve -4/9*3/5*-9/10

$$\frac{ -4 }{ 9 } \times \frac{ 3 }{ 5 } \times \frac{ -9 }{ 10 }$$

Evaluate

$$\frac{6}{25}=0.24$$

Solution Steps

Fraction \frac{-4}{9} can be rewritten as -\frac{4}{9} by extracting the negative sign.

$$-\frac{4}{9}\times \frac{3}{5}\times \frac{-9}{10}$$

Multiply -\frac{4}{9} times \frac{3}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-4\times 3}{9\times 5}\times \frac{-9}{10}$$

Do the multiplications in the fraction \frac{-4\times 3}{9\times 5}.

$$\frac{-12}{45}\times \frac{-9}{10}$$

Reduce the fraction \frac{-12}{45} to lowest terms by extracting and canceling out 3.

$$-\frac{4}{15}\times \frac{-9}{10}$$

Fraction \frac{-9}{10} can be rewritten as -\frac{9}{10} by extracting the negative sign.

$$-\frac{4}{15}\left(-\frac{9}{10}\right)$$

Multiply -\frac{4}{15} times -\frac{9}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-4\left(-9\right)}{15\times 10}$$

Do the multiplications in the fraction \frac{-4\left(-9\right)}{15\times 10}.

$$\frac{36}{150}$$

Reduce the fraction \frac{36}{150} to lowest terms by extracting and canceling out 6.

$$\frac{6}{25}$$

Factor

$$\frac{2 \cdot 3}{5 ^ {2}} = 0.24$$