A. 1 1/2
B.-3 3/8
C.3 3/8
D. -1 1/2

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: A. \:1 \frac{1}{2} }}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex] - 2 \frac{1}{4} \div ( - 1 \frac{1}{2} )[/tex]
➼ [tex] \: \frac{ - 9}{4} \div( \frac{ - 3}{2} )[/tex]
➼ [tex] \: \frac{ - 9}{4} \times \frac{ - 2}{3} [/tex]
➼ [tex] \: \frac{ - 9 \times - 2}{4 \times 3} [/tex]
➼ [tex] \: \frac{18}{12} [/tex]
➼ [tex] \: \frac{3}{2} [/tex]
➼ [tex] \: 1 \frac{1}{2} [/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]