Solve 0.4*(-81/3)*(-12.5)*(-0.6)=

$$0.4 \times (-8 \frac{ 1 }{ 3 } ) \times (-12.5) \times (-0.6)=$$

Evaluate

$$-25$$

Solution Steps

Multiply 8 and 3 to get 24.

$$0.4\left(-\frac{24+1}{3}\right)\left(-12.5\right)\left(-0.6\right)$$

Add 24 and 1 to get 25.

$$0.4\left(-\frac{25}{3}\right)\left(-12.5\right)\left(-0.6\right)$$

Convert decimal number 0.4 to fraction \frac{4}{10}. Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.

$$\frac{2}{5}\left(-\frac{25}{3}\right)\left(-12.5\right)\left(-0.6\right)$$

Multiply \frac{2}{5} times -\frac{25}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\left(-25\right)}{5\times 3}\left(-12.5\right)\left(-0.6\right)$$

Do the multiplications in the fraction \frac{2\left(-25\right)}{5\times 3}.

$$\frac{-50}{15}\left(-12.5\right)\left(-0.6\right)$$

Reduce the fraction \frac{-50}{15} to lowest terms by extracting and canceling out 5.

$$-\frac{10}{3}\left(-12.5\right)\left(-0.6\right)$$

Convert decimal number -12.5 to fraction -\frac{125}{10}. Reduce the fraction -\frac{125}{10} to lowest terms by extracting and canceling out 5.

$$-\frac{10}{3}\left(-\frac{25}{2}\right)\left(-0.6\right)$$

Multiply -\frac{10}{3} times -\frac{25}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-10\left(-25\right)}{3\times 2}\left(-0.6\right)$$

Do the multiplications in the fraction \frac{-10\left(-25\right)}{3\times 2}.

$$\frac{250}{6}\left(-0.6\right)$$

Reduce the fraction \frac{250}{6} to lowest terms by extracting and canceling out 2.

$$\frac{125}{3}\left(-0.6\right)$$

Convert decimal number -0.6 to fraction -\frac{6}{10}. Reduce the fraction -\frac{6}{10} to lowest terms by extracting and canceling out 2.

$$\frac{125}{3}\left(-\frac{3}{5}\right)$$

Multiply \frac{125}{3} times -\frac{3}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{125\left(-3\right)}{3\times 5}$$

Do the multiplications in the fraction \frac{125\left(-3\right)}{3\times 5}.

$$\frac{-375}{15}$$

Divide -375 by 15 to get -25.

$$-25$$

Factor

$$-25$$