Solve (-7)*(-4/3)*5/14

$$( - 7 ) \times ( - \frac { 4 } { 3 } ) \times \frac { 5 } { 14 }$$

Evaluate

$$\frac{10}{3}\approx 3.333333333$$

Solution Steps

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

$$\frac{-7\left(-4\right)}{3}\times \frac{5}{14}$$

Multiply -7 and -4 to get 28.

$$\frac{28}{3}\times \frac{5}{14}$$

Multiply \frac{28}{3} times \frac{5}{14} by multiplying numerator times numerator and denominator times denominator.

$$\frac{28\times 5}{3\times 14}$$

Do the multiplications in the fraction \frac{28\times 5}{3\times 14}.

$$\frac{140}{42}$$

Reduce the fraction \frac{140}{42} to lowest terms by extracting and canceling out 14.

$$\frac{10}{3}$$

Factor

$$\frac{2 \cdot 5}{3} = 3\frac{1}{3} = 3.3333333333333335$$