Multiply the fractions $\left(\frac{4}{9}\right)\left(-\frac{5}{2}\right)$ and write the result in simplest form.

A) $-\frac{37}{18}$
B) $\frac{1}{7}$
C) - $\frac{1}{7}$
D) $-\frac{10}{9}$
E) $\frac{10}{9}$

To multiply fractions, we multiply the numerators together and the denominators together. So, $\left( \frac { 4 } { 9 } \right) \left( - \frac { 5 } { 2 } \right) = \frac{4 \cdot (-5)}{9 \cdot 2} = -\frac{20}{18}$. To simplify this fraction, we can divide both the numerator and denominator by the greatest common factor of 20 and 18, which is 2. This gives us $-\frac{10}{9}$. So, the final answer in simplest form is D.