\( -\frac{9}{10} \div\left(-\frac{3}{2}\right)=\square \) (Simplify your answer. Type an integer or a fraction.)

To solve \( -\frac{9}{10} \div\left(-\frac{3}{2}\right) \), first, we can change the division of fractions into multiplication by the reciprocal. So, we rewrite it as: \[ -\frac{9}{10} \times -\frac{2}{3} \] Multiplying the fractions gives us: \[ \frac{9 \times 2}{10 \times 3} = \frac{18}{30} \] Now, we can simplify \(\frac{18}{30}\) by dividing both the numerator and denominator by their greatest common divisor, which is 6: \[ \frac{18 \div 6}{30 \div 6} = \frac{3}{5} \] Thus, the answer is: \[ \frac{3}{5} \]