Solve 5/6*(-14/5)

$$\frac{ 5 }{ 6 } \times (-1 \frac{ 4 }{ 5 } )$$

Evaluate

$$-\frac{3}{2}=-1.5$$

Solution Steps

Multiply 1 and 5 to get 5.

$$\frac{5}{6}\left(-\frac{5+4}{5}\right)$$

Add 5 and 4 to get 9.

$$\frac{5}{6}\left(-\frac{9}{5}\right)$$

Multiply \frac{5}{6} times -\frac{9}{5} by multiplying numerator times numerator and denominator times denominator.

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

Cancel out 5 in both numerator and denominator.

$$\frac{-9}{6}$$

Reduce the fraction \frac{-9}{6} to lowest terms by extracting and canceling out 3.

$$-\frac{3}{2}$$

Factor

$$-\frac{3}{2} = -1\frac{1}{2} = -1.5$$