Solve -4/5div(-12/35)

$$- 4 / 5 \div ( - 12 / 35 )$$

Evaluate

$$\frac{7}{3}\approx 2.333333333$$

Solution Steps

Divide -\frac{4}{5} by -\frac{12}{35} by multiplying -\frac{4}{5} by the reciprocal of -\frac{12}{35}.

$$-\frac{4}{5}\left(-\frac{35}{12}\right)$$

Multiply -\frac{4}{5} times -\frac{35}{12} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-4\left(-35\right)}{5\times 12}$$

Do the multiplications in the fraction \frac{-4\left(-35\right)}{5\times 12}.

$$\frac{140}{60}$$

Reduce the fraction \frac{140}{60} to lowest terms by extracting and canceling out 20.

$$\frac{7}{3}$$

Factor

$$\frac{7}{3} = 2\frac{1}{3} = 2.3333333333333335$$