Please help! I’m very confused and this is my first question. Our Notes and Homework don’t line up.

[tex] \bf \cfrac{3}{5}~~to~~9\implies \cfrac{3}{5}:9\implies \cfrac{~~\frac{3}{5}~~}{9}\implies \cfrac{~~\frac{3}{5}~~}{\frac{9}{1}}\implies \cfrac{3}{5}\cdot \cfrac{1}{9}
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\cfrac{3}{9}\cdot \cfrac{1}{5}\implies \cfrac{1}{3}\cdot \cfrac{1}{5}\implies \cfrac{1}{15}\implies 1:15 [/tex]