Solve 1/5*(-755/6)

$$\frac { 1 } { 5 } \times ( - 75 \frac { 5 } { 6 } )$$

Evaluate

$$-\frac{91}{6}\approx -15.166666667$$

Solution Steps

Multiply 75 and 6 to get 450.

$$\frac{1}{5}\left(-\frac{450+5}{6}\right)$$

Add 450 and 5 to get 455.

$$\frac{1}{5}\left(-\frac{455}{6}\right)$$

Multiply \frac{1}{5} times -\frac{455}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\left(-455\right)}{5\times 6}$$

Do the multiplications in the fraction \frac{1\left(-455\right)}{5\times 6}.

$$\frac{-455}{30}$$

Reduce the fraction \frac{-455}{30} to lowest terms by extracting and canceling out 5.

$$-\frac{91}{6}$$

Factor

$$-\frac{91}{6} = -15\frac{1}{6} = -15.166666666666666$$