Solve 9/4*(-7/5)*(-6/21)

$$\frac { 9 } { 4 } \times ( \frac { - 7 } { 5 } ) \times ( \frac { - 6 } { 21 } )$$

Evaluate

$$\frac{9}{10}=0.9$$

Solution Steps

Fraction \frac{-7}{5} can be rewritten as -\frac{7}{5} by extracting the negative sign.

$$\frac{9}{4}\left(-\frac{7}{5}\right)\times \frac{-6}{21}$$

Multiply \frac{9}{4} times -\frac{7}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\left(-7\right)}{4\times 5}\times \frac{-6}{21}$$

Do the multiplications in the fraction \frac{9\left(-7\right)}{4\times 5}.

$$\frac{-63}{20}\times \frac{-6}{21}$$

Fraction \frac{-63}{20} can be rewritten as -\frac{63}{20} by extracting the negative sign.

$$-\frac{63}{20}\times \frac{-6}{21}$$

Reduce the fraction \frac{-6}{21} to lowest terms by extracting and canceling out 3.

$$-\frac{63}{20}\left(-\frac{2}{7}\right)$$

Multiply -\frac{63}{20} times -\frac{2}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-63\left(-2\right)}{20\times 7}$$

Do the multiplications in the fraction \frac{-63\left(-2\right)}{20\times 7}.

$$\frac{126}{140}$$

Reduce the fraction \frac{126}{140} to lowest terms by extracting and canceling out 14.

$$\frac{9}{10}$$

Factor

$$\frac{3 ^ {2}}{2 \cdot 5} = 0.9$$