[tex]\begin{gathered} 7\frac{1}{2}=\frac{15}{2} \\ \\ 2\frac{1}{4}=\frac{9}{4} \\ \\ \text{ Now, since she needs 15/2 to 9/4, then she needs} \\ \\ \frac{\frac{15}{2}}{\frac{9}{4}}=\frac{60}{18}=\frac{30}{9}=\frac{10}{3} \\ \\ \text{she needs 3}\frac{1}{3}\text{ to make 1 bow!} \end{gathered}[/tex]