Multiply, Write your answer as a fraction in simplest form, \[ \frac{3}{2} \times \frac{14}{9} \]

To multiply the fractions, you simply multiply the numerators together and the denominators together. So, \[ \frac{3}{2} \times \frac{14}{9} = \frac{3 \times 14}{2 \times 9} = \frac{42}{18}. \] Next, we simplify the fraction. Both 42 and 18 can be divided by 6, which gives us: \[ \frac{42 \div 6}{18 \div 6} = \frac{7}{3}. \] So, the answer in simplest form is \[ \frac{7}{3}. \]