Solve -24/5:(-5/14)

$$- 2 \frac { 4 } { 5 } : ( - \frac { 5 } { 14 } )$$

Evaluate

$$\frac{196}{25}=7.84$$

Solution Steps

Multiply 2 and 5 to get 10.

$$\frac{-\frac{10+4}{5}}{-\frac{5}{14}}$$

Add 10 and 4 to get 14.

$$\frac{-\frac{14}{5}}{-\frac{5}{14}}$$

Divide -\frac{14}{5} by -\frac{5}{14} by multiplying -\frac{14}{5} by the reciprocal of -\frac{5}{14}.

$$-\frac{14}{5}\left(-\frac{14}{5}\right)$$

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

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

Do the multiplications in the fraction \frac{-14\left(-14\right)}{5\times 5}.

$$\frac{196}{25}$$

Factor

$$\frac{2 ^ {2} \cdot 7 ^ {2}}{5 ^ {2}} = 7\frac{21}{25} = 7.84$$