Remember PEMDAS (Parentheses, Exponent, Multiply, Divide, Add, Subtract)
[tex] \frac{3}{2} ^{2} [/tex] + 4 ÷ 2 · 3 Change [tex] \frac{3}{2}^{2} [/tex] to [tex] \frac{3^2}{2^2} [/tex]
[tex] \frac{3^{2}}{2^{2}} [/tex] + 4 ÷ 2 · 3 Simplify the fraction
[tex] \frac{9}{4} [/tex] + 4 ÷ 2 · 3 Now, do the division
[tex] \frac{9}{4} [/tex] + 2 · 3 Multiply
[tex] \frac{9}{4} [/tex] + 6 Change 6 into a fraction with a denominator of 4
[tex] \frac{9}{4} + \frac{24}{4}[/tex] Add the numerators together
[tex] \frac{33}{4}[/tex]
The answer is C. [tex] \frac{33}{4}[/tex] .
