Solve (1/4)(-2/3)(5/7)=

$$( \frac { 1 } { 4 } ) ( - \frac { 2 } { 3 } ) ( \frac { 5 } { 7 } ) =$$

Evaluate

$$-\frac{5}{42}\approx -0.119047619$$

Solution Steps

Multiply \frac{1}{4} times -\frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\left(-2\right)}{4\times 3}\times \frac{5}{7}$$

Do the multiplications in the fraction \frac{1\left(-2\right)}{4\times 3}.

$$\frac{-2}{12}\times \frac{5}{7}$$

Reduce the fraction \frac{-2}{12} to lowest terms by extracting and canceling out 2.

$$-\frac{1}{6}\times \frac{5}{7}$$

Multiply -\frac{1}{6} times \frac{5}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-5}{6\times 7}$$

Do the multiplications in the fraction \frac{-5}{6\times 7}.

$$\frac{-5}{42}$$

Fraction \frac{-5}{42} can be rewritten as -\frac{5}{42} by extracting the negative sign.

$$-\frac{5}{42}$$

Factor

$$-\frac{5}{42} = -0.11904761904761904$$