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

To match the expressions on the left to their equivalent values on the right, let's simplify each expression step by step: 1. For \( \frac{2}{3} \div \frac{4}{9} \): - Division of fractions is equivalent to multiplying by the reciprocal. Thus, \[ \frac{2}{3} \div \frac{4}{9} = \frac{2}{3} \times \frac{9}{4} = \frac{2 \times 9}{3 \times 4} = \frac{18}{12} = \frac{3}{2} = 1 \frac{1}{2}. \] 2. For \( \frac{3}{2} \div (-1) \): - Dividing by a negative number makes the fraction negative, so \[ \frac{3}{2} \div (-1) = -\frac{3}{2} = -1 \frac{1}{2}. \] 3. For \( (-7) \div (-4) \): - Dividing two negatives results in a positive, therefore \[ (-7) \div (-4) = \frac{7}{4} = 1 \frac{3}{4}. \] Now, matching the simplified values with the values on the right: - \( \frac{2}{3} \div \frac{4}{9} = 1 \frac{1}{2} \) - \( \frac{3}{2} \div(-1) = -1 \frac{1}{2} \) - \( (-7) \div(-4) = 1 \frac{3}{4} \) So, the final matches are: \(\frac{2}{3} \div \frac{4}{9} \leftrightarrow 1 \frac{1}{2}\) \(\frac{3}{2} \div(-1) \leftrightarrow -1 \frac{1}{2}\) \((-7) \div(-4) \leftrightarrow 1 \frac{3}{4}\)