Match each expression on the left to its equivalent value on the right. \( \frac{2}{3} \div \frac{4}{9} \) \( \frac{3}{2} \div(-1) \) \( (-7) \div(-4) \)

Let's break down each expression to find the equivalent value: 1. For \( \frac{2}{3} \div \frac{4}{9} \): To divide fractions, we multiply by the reciprocal. Thus, \[ \frac{2}{3} \div \frac{4}{9} = \frac{2}{3} \times \frac{9}{4} = \frac{2 \times 9}{3 \times 4} = \frac{18}{12} = \frac{3}{2} \] 2. For \( \frac{3}{2} \div(-1) \): Dividing by -1 changes the sign, so \[ \frac{3}{2} \div(-1) = -\frac{3}{2} \] 3. For \( (-7) \div(-4) \): Dividing two negative numbers gives a positive result, so \[ (-7) \div(-4) = \frac{7}{4} \] Thus, the matches are: - \( \frac{2}{3} \div \frac{4}{9} \) corresponds to \( \frac{3}{2} \) - \( \frac{3}{2} \div(-1) \) corresponds to \( -\frac{3}{2} \) - \( (-7) \div(-4) \) corresponds to \( \frac{7}{4} \)