Solve -2/21/frac{5{-24}}

$$\frac{ \frac{ -2 }{ 21 } }{ \frac{ 5 }{ -24 } }$$

Evaluate

$$\frac{16}{35}\approx 0.457142857$$

Solution Steps

Divide \frac{-2}{21} by \frac{5}{-24} by multiplying \frac{-2}{21} by the reciprocal of \frac{5}{-24}.

$$\frac{-2\left(-24\right)}{21\times 5}$$

Cancel out 3 in both numerator and denominator.

$$\frac{-8\left(-2\right)}{5\times 7}$$

Multiply -8 and -2 to get 16.

$$\frac{16}{5\times 7}$$

Multiply 5 and 7 to get 35.

$$\frac{16}{35}$$

Factor

$$\frac{2 ^ {4}}{5 \cdot 7} = 0.45714285714285713$$