Solve -(16)/(81)\div-(32)/(45) | Equatix

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Question

$$- \frac{ 16 }{ 81 } \div - \frac{ 32 }{ 45 }$$

$\frac{5}{18}\approx 0.277777778$

Divide $-\frac{16}{81}$ by $-\frac{32}{45}$ by multiplying $-\frac{16}{81}$ by the reciprocal of $-\frac{32}{45}$.

$$-\frac{16}{81}\left(-\frac{45}{32}\right)$$

Multiply $-\frac{16}{81}$ times $-\frac{45}{32}$ by multiplying numerator times numerator and denominator times denominator.

$$\frac{-16\left(-45\right)}{81\times 32}$$

Do the multiplications in the fraction $\frac{-16\left(-45\right)}{81\times 32}$.

$$\frac{720}{2592}$$

Reduce the fraction $\frac{720}{2592}$ to lowest terms by extracting and canceling out $144$.

$$\frac{5}{18}$$

$\frac{5}{2 \cdot 3 ^ {2}} = 0.2777777777777778$