You need to implement the process of "flip-flop" and multiply which is where you flip the second fraction and multiply.
[tex] \frac{2}{3} [/tex]÷[tex] \frac{11}{15} [/tex]⇒[tex] \frac{2}{3} [/tex]×[tex] \frac{15}{11} [/tex]
Now you multiply across. 2×15=30 and 3×11=33
So now it is [tex] \frac{30}{33} [/tex]
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To reduce to the lowest terms, find the GCF common factor
The GCF is 3
Divide both the numerator and denominator by 3
[tex] \frac{30}{33} [/tex]÷[tex] \frac{3}{3} [/tex]=[tex] \frac{10}{11} [/tex]
Answer: [tex] \frac{10}{11} [/tex]