Solve -(85)/(57)\div-(17)/(38) | Equatix

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Question

$$- \frac{ 85 }{ 57 } \div - \frac{ 17 }{ 38 }$$

$\frac{10}{3}\approx 3.333333333$

Divide $-\frac{85}{57}$ by $-\frac{17}{38}$ by multiplying $-\frac{85}{57}$ by the reciprocal of $-\frac{17}{38}$.

$$-\frac{85}{57}\left(-\frac{38}{17}\right)$$

Multiply $-\frac{85}{57}$ times $-\frac{38}{17}$ by multiplying numerator times numerator and denominator times denominator.

$$\frac{-85\left(-38\right)}{57\times 17}$$

Do the multiplications in the fraction $\frac{-85\left(-38\right)}{57\times 17}$.

$$\frac{3230}{969}$$

Reduce the fraction $\frac{3230}{969}$ to lowest terms by extracting and canceling out $323$.

$$\frac{10}{3}$$

$\frac{2 \cdot 5}{3} = 3\frac{1}{3} = 3.3333333333333335$