Answer:
6
Step-by-step explanation:
First, change 4 1/2 into a fraction.
[tex] 4\frac{1}{2} \div \dfrac{3}{4} = [/tex]
[tex] = \dfrac{4 \times 2 + 1}{2} \div \dfrac{3}{4} [/tex]
[tex] = \dfrac{9}{2} \div \dfrac{3}{4} [/tex]
[tex] = \dfrac{9}{2} \times \dfrac{4}{3} [/tex]
[tex] = \dfrac{9 \times 4}{2 \times 3} [/tex]
[tex] = \dfrac{3 \times 3 \times 2 \times 2}{2 \times 3} [/tex]
[tex] = 3 \times 2 [/tex]
[tex] = 6 [/tex]
