Solve (12/13)(-1/6)(13/14)

$$( \frac { 12 } { 13 } ) ( - \frac { 1 } { 6 } ) ( \frac { 13 } { 14 } )$$

Evaluate

$$-\frac{1}{7}\approx -0.142857143$$

Solution Steps

Multiply \frac{12}{13} times -\frac{1}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{12\left(-1\right)}{13\times 6}\times \frac{13}{14}$$

Do the multiplications in the fraction \frac{12\left(-1\right)}{13\times 6}.

$$\frac{-12}{78}\times \frac{13}{14}$$

Reduce the fraction \frac{-12}{78} to lowest terms by extracting and canceling out 6.

$$-\frac{2}{13}\times \frac{13}{14}$$

Multiply -\frac{2}{13} times \frac{13}{14} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-2\times 13}{13\times 14}$$

Cancel out 13 in both numerator and denominator.

$$\frac{-2}{14}$$

Reduce the fraction \frac{-2}{14} to lowest terms by extracting and canceling out 2.

$$-\frac{1}{7}$$

Factor

$$-\frac{1}{7} = -0.14285714285714285$$