The integer closest to the value of $\frac{3}{2} \times \frac{4}{9}+\frac{7}{2}$ is
(A) 3
(B) 4
(C) 5
(D) 6
(E) 7
We could use a calculator to determine the value of the expression and then round to the nearest integer. Alternatively, we can calculate the value of the expression by hand:

$$
\frac{3}{2} \times \frac{4}{9}+\frac{7}{2}=\frac{12}{18}+\frac{7}{2}=\frac{12}{18}+\frac{63}{18}=\frac{75}{18}=\frac{25}{6}=4+\frac{1}{6}
$$

Therefore, the closest integer is 4 .

ANSWER: (B)