Solve -12/3div(-21/5)

$$- 1 \frac { 2 } { 3 } \div ( - 2 \frac { 1 } { 5 } )$$

Evaluate

$$\frac{25}{33}\approx 0.757575758$$

Solution Steps

Multiply 1 and 3 to get 3.

$$\frac{-\frac{3+2}{3}}{-\frac{2\times 5+1}{5}}$$

Add 3 and 2 to get 5.

$$\frac{-\frac{5}{3}}{-\frac{2\times 5+1}{5}}$$

Multiply 2 and 5 to get 10.

$$\frac{-\frac{5}{3}}{-\frac{10+1}{5}}$$

Add 10 and 1 to get 11.

$$\frac{-\frac{5}{3}}{-\frac{11}{5}}$$

Divide -\frac{5}{3} by -\frac{11}{5} by multiplying -\frac{5}{3} by the reciprocal of -\frac{11}{5}.

$$-\frac{5}{3}\left(-\frac{5}{11}\right)$$

Multiply -\frac{5}{3} times -\frac{5}{11} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-5\left(-5\right)}{3\times 11}$$

Do the multiplications in the fraction \frac{-5\left(-5\right)}{3\times 11}.

$$\frac{25}{33}$$

Factor

$$\frac{5 ^ {2}}{3 \cdot 11} = 0.7575757575757576$$