Solve -4*7/-3*-6/5

$$- 4 \cdot \frac { 7 } { - 3 } \cdot \frac { - 6 } { 5 }$$

Evaluate

$$-\frac{56}{5}=-11.2$$

Solution Steps

Fraction \frac{7}{-3} can be rewritten as -\frac{7}{3} by extracting the negative sign.

$$-4\left(-\frac{7}{3}\right)\times \frac{-6}{5}$$

Express -4\left(-\frac{7}{3}\right) as a single fraction.

$$\frac{-4\left(-7\right)}{3}\times \frac{-6}{5}$$

Multiply -4 and -7 to get 28.

$$\frac{28}{3}\times \frac{-6}{5}$$

Fraction \frac{-6}{5} can be rewritten as -\frac{6}{5} by extracting the negative sign.

$$\frac{28}{3}\left(-\frac{6}{5}\right)$$

Multiply \frac{28}{3} times -\frac{6}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{28\left(-6\right)}{3\times 5}$$

Do the multiplications in the fraction \frac{28\left(-6\right)}{3\times 5}.

$$\frac{-168}{15}$$

Reduce the fraction \frac{-168}{15} to lowest terms by extracting and canceling out 3.

$$-\frac{56}{5}$$

Factor

$$-\frac{56}{5} = -11\frac{1}{5} = -11.2$$