Solve (-33/5)div(-42/3)

$$( - 3 \frac { 3 } { 5 } ) \div ( - 4 \frac { 2 } { 3 } )$$

Evaluate

$$\frac{27}{35}\approx 0.771428571$$

Solution Steps

Multiply 3 and 5 to get 15.

$$\frac{-\frac{15+3}{5}}{-\frac{4\times 3+2}{3}}$$

Add 15 and 3 to get 18.

$$\frac{-\frac{18}{5}}{-\frac{4\times 3+2}{3}}$$

Multiply 4 and 3 to get 12.

$$\frac{-\frac{18}{5}}{-\frac{12+2}{3}}$$

Add 12 and 2 to get 14.

$$\frac{-\frac{18}{5}}{-\frac{14}{3}}$$

Divide -\frac{18}{5} by -\frac{14}{3} by multiplying -\frac{18}{5} by the reciprocal of -\frac{14}{3}.

$$-\frac{18}{5}\left(-\frac{3}{14}\right)$$

Multiply -\frac{18}{5} times -\frac{3}{14} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-18\left(-3\right)}{5\times 14}$$

Do the multiplications in the fraction \frac{-18\left(-3\right)}{5\times 14}.

$$\frac{54}{70}$$

Reduce the fraction \frac{54}{70} to lowest terms by extracting and canceling out 2.

$$\frac{27}{35}$$

Factor

$$\frac{3 ^ {3}}{5 \cdot 7} = 0.7714285714285715$$