When dividing two fractions, we flip the second fraction and multiply by it (that is, use the reciprocal).
[tex] \frac{9}{15} [/tex] ÷ [tex] \frac{27}{30} [/tex]
= [tex] \frac{9}{15} [/tex] × [tex] \frac{30}{27} [/tex]
You can either multiply top by top and bottom by bottom or you can simplify by dividing out common factors.
= [tex] \frac{1}{1} [/tex] × [tex] \frac{2}{3} [/tex]
= [tex] \frac{2}{3} [/tex]
