Questions: -3/2 ÷ (9/10) =

Solution Steps

To solve the division of fractions, multiply the first fraction by the reciprocal of the second fraction.

We start with the expression \( -\frac{3}{2} \div \left(\frac{9}{10}\right) \). This can be rewritten as: \[ -\frac{3}{2} \div \frac{9}{10} \]

To divide by a fraction, we multiply by its reciprocal: \[ -\frac{3}{2} \times \frac{10}{9} \]

Now, we multiply the numerators and the denominators: \[ \frac{-3 \times 10}{2 \times 9} = \frac{-30}{18} \]

Next, we simplify \( \frac{-30}{18} \) by dividing both the numerator and the denominator by their greatest common divisor, which is 6: \[ \frac{-30 \div 6}{18 \div 6} = \frac{-5}{3} \]

Final Answer