[tex]7 \frac{1}{2} [/tex]
First, convert any mixed numbers to fractions. An easy way to convert:
[tex]4 \frac{1}{2} = 4 \times 2 + 1[/tex]
[tex] \frac{9}{2} \div \frac{3}{5} [/tex]
Then, apply the fractions formula for division.
[tex] \frac{9 \times5 }{2 \times 3} = \frac{45}{6} [/tex]
Then, simplify.
[tex] \frac{45}{6} = 7 \frac{1}{2} [/tex]