Solve -4/5*3/7*15/16*-14/9

$$\frac{ -4 }{ 5 } \times \frac{ 3 }{ 7 } \times \frac{ 15 }{ 16 } \times \frac{ -14 }{ 9 }$$

Evaluate

$$\frac{1}{2}=0.5$$

Solution Steps

Fraction \frac{-4}{5} can be rewritten as -\frac{4}{5} by extracting the negative sign.

$$-\frac{4}{5}\times \frac{3}{7}\times \frac{15}{16}\times \frac{-14}{9}$$

Multiply -\frac{4}{5} times \frac{3}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-4\times 3}{5\times 7}\times \frac{15}{16}\times \frac{-14}{9}$$

Do the multiplications in the fraction \frac{-4\times 3}{5\times 7}.

$$\frac{-12}{35}\times \frac{15}{16}\times \frac{-14}{9}$$

Fraction \frac{-12}{35} can be rewritten as -\frac{12}{35} by extracting the negative sign.

$$-\frac{12}{35}\times \frac{15}{16}\times \frac{-14}{9}$$

Multiply -\frac{12}{35} times \frac{15}{16} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-12\times 15}{35\times 16}\times \frac{-14}{9}$$

Do the multiplications in the fraction \frac{-12\times 15}{35\times 16}.

$$\frac{-180}{560}\times \frac{-14}{9}$$

Reduce the fraction \frac{-180}{560} to lowest terms by extracting and canceling out 20.

$$-\frac{9}{28}\times \frac{-14}{9}$$

Fraction \frac{-14}{9} can be rewritten as -\frac{14}{9} by extracting the negative sign.

$$-\frac{9}{28}\left(-\frac{14}{9}\right)$$

Multiply -\frac{9}{28} times -\frac{14}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-9\left(-14\right)}{28\times 9}$$

Do the multiplications in the fraction \frac{-9\left(-14\right)}{28\times 9}.

$$\frac{126}{252}$$

Reduce the fraction \frac{126}{252} to lowest terms by extracting and canceling out 126.

$$\frac{1}{2}$$

Factor

$$\frac{1}{2} = 0.5$$