Solve -21/25*(-15/14)*-5/12

$$\frac{ -21 }{ 25 } \times (- \frac{ 15 }{ 14 } ) \times \frac{ -5 }{ 12 }$$

Evaluate

$$-\frac{3}{8}=-0.375$$

Solution Steps

Fraction \frac{-21}{25} can be rewritten as -\frac{21}{25} by extracting the negative sign.

$$-\frac{21}{25}\left(-\frac{15}{14}\right)\times \frac{-5}{12}$$

Multiply -\frac{21}{25} times -\frac{15}{14} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-21\left(-15\right)}{25\times 14}\times \frac{-5}{12}$$

Do the multiplications in the fraction \frac{-21\left(-15\right)}{25\times 14}.

$$\frac{315}{350}\times \frac{-5}{12}$$

Reduce the fraction \frac{315}{350} to lowest terms by extracting and canceling out 35.

$$\frac{9}{10}\times \frac{-5}{12}$$

Fraction \frac{-5}{12} can be rewritten as -\frac{5}{12} by extracting the negative sign.

$$\frac{9}{10}\left(-\frac{5}{12}\right)$$

Multiply \frac{9}{10} times -\frac{5}{12} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\left(-5\right)}{10\times 12}$$

Do the multiplications in the fraction \frac{9\left(-5\right)}{10\times 12}.

$$\frac{-45}{120}$$

Reduce the fraction \frac{-45}{120} to lowest terms by extracting and canceling out 15.

$$-\frac{3}{8}$$

Factor

$$-\frac{3}{8} = -0.375$$