Solve -9/5div-24/19

$$\frac { - 9 } { 5 } \div \frac { - 24 } { 19 }$$

Evaluate

$$\frac{57}{40}=1.425$$

Solution Steps

Divide \frac{-9}{5} by \frac{-24}{19} by multiplying \frac{-9}{5} by the reciprocal of \frac{-24}{19}.

$$\frac{-9\times 19}{5\left(-24\right)}$$

Cancel out 3 in both numerator and denominator.

$$\frac{-3\times 19}{-8\times 5}$$

Multiply -3 and 19 to get -57.

$$\frac{-57}{-8\times 5}$$

Multiply -8 and 5 to get -40.

$$\frac{-57}{-40}$$

Fraction \frac{-57}{-40} can be simplified to \frac{57}{40} by removing the negative sign from both the numerator and the denominator.

$$\frac{57}{40}$$

Factor

$$\frac{3 \cdot 19}{2 ^ {3} \cdot 5} = 1\frac{17}{40} = 1.425$$