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

Calculate the value by following steps: - step0: Calculate: \(\frac{3}{2}\div \left(-1\right)\) - step1: Divide the terms: \(-\frac{3}{2}\) Calculate or simplify the expression \( \frac{2}{3} \div \frac{4}{9} \). Calculate the value by following steps: - step0: Calculate: \(\frac{2}{3}\div \frac{4}{9}\) - step1: Multiply by the reciprocal: \(\frac{2}{3}\times \frac{9}{4}\) - step2: Reduce the numbers: \(1\times \frac{3}{2}\) - step3: Multiply: \(\frac{3}{2}\) Calculate or simplify the expression \( (-7) \div(-4) \). Calculate the value by following steps: - step0: Calculate: \(\left(-7\right)\div \left(-4\right)\) - step1: Divide: \(1.75\) Let's evaluate each expression step by step: 1. **For \( \frac{2}{3} \div \frac{4}{9} \)**: - Dividing fractions involves multiplying by the reciprocal. Thus: \[ \frac{2}{3} \div \frac{4}{9} = \frac{2}{3} \times \frac{9}{4} = \frac{2 \times 9}{3 \times 4} = \frac{18}{12} = \frac{3}{2} \] - This is equivalent to \( 1 \frac{1}{2} \) or \( 1.5 \). 2. **For \( \frac{3}{2} \div (-1) \)**: - Dividing by a negative number changes the sign: \[ \frac{3}{2} \div (-1) = -\frac{3}{2} = -1 \frac{1}{2} \text{ or } -1.5 \] 3. **For \( (-7) \div (-4) \)**: - Dividing two negative numbers gives a positive result: \[ (-7) \div (-4) = \frac{7}{4} = 1 \frac{3}{4} \text{ or } 1.75 \] Now, we can match the expressions to their equivalent values: - \( \frac{2}{3} \div \frac{4}{9} \) matches with \( 1 \frac{1}{2} \). - \( \frac{3}{2} \div (-1) \) matches with \( -1 \frac{1}{2} \). - \( (-7) \div (-4) \) matches with \( 1 \frac{3}{4} \). Thus, the matches are: - \( \frac{2}{3} \div \frac{4}{9} \) → \( 1 \frac{1}{2} \) - \( \frac{3}{2} \div (-1) \) → \( -1 \frac{1}{2} \) - \( (-7) \div (-4) \) → \( 1 \frac{3}{4} \)