Solve (2/7)(3/-8)(-4/9)(5/-10)

$$( \frac { 2 } { 7 } ) ( \frac { 3 } { - 8 } ) ( \frac { - 4 } { 9 } ) ( \frac { 5 } { - 10 } )$$

Evaluate

$$-\frac{1}{42}\approx -0.023809524$$

Solution Steps

Fraction \frac{3}{-8} can be rewritten as -\frac{3}{8} by extracting the negative sign.

$$\frac{2}{7}\left(-\frac{3}{8}\right)\times \frac{-4}{9}\times \frac{5}{-10}$$

Multiply \frac{2}{7} times -\frac{3}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\left(-3\right)}{7\times 8}\times \frac{-4}{9}\times \frac{5}{-10}$$

Do the multiplications in the fraction \frac{2\left(-3\right)}{7\times 8}.

$$\frac{-6}{56}\times \frac{-4}{9}\times \frac{5}{-10}$$

Reduce the fraction \frac{-6}{56} to lowest terms by extracting and canceling out 2.

$$-\frac{3}{28}\times \frac{-4}{9}\times \frac{5}{-10}$$

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

$$-\frac{3}{28}\left(-\frac{4}{9}\right)\times \frac{5}{-10}$$

Multiply -\frac{3}{28} times -\frac{4}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-3\left(-4\right)}{28\times 9}\times \frac{5}{-10}$$

Do the multiplications in the fraction \frac{-3\left(-4\right)}{28\times 9}.

$$\frac{12}{252}\times \frac{5}{-10}$$

Reduce the fraction \frac{12}{252} to lowest terms by extracting and canceling out 12.

$$\frac{1}{21}\times \frac{5}{-10}$$

Reduce the fraction \frac{5}{-10} to lowest terms by extracting and canceling out 5.

$$\frac{1}{21}\left(-\frac{1}{2}\right)$$

Multiply \frac{1}{21} times -\frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\left(-1\right)}{21\times 2}$$

Do the multiplications in the fraction \frac{1\left(-1\right)}{21\times 2}.

$$\frac{-1}{42}$$

Fraction \frac{-1}{42} can be rewritten as -\frac{1}{42} by extracting the negative sign.

$$-\frac{1}{42}$$

Factor

$$-\frac{1}{42} = -0.023809523809523808$$