A survey has found that 3/4 of the people in a city own pets. Of those who own pets, 2/3 have cats. What fraction of thsoe surveyed own cats?

You need to find 2/3 of 3/4. Since of means multiply, you need to multiply 2/3 times 3/4. What answer do you get?

i got 72/144 which i simplified to 1/2, but when i re-read the question i wasn't so sure of my answer.

Yes. 1/2 is right. And it makes sense :-).

thanks for the second opinion!

You're welcome! I'm glad I could help you confirm your answer. It's always a good idea to double-check your work to make sure you haven't made any mistakes. In this case, you correctly calculated that 2/3 of 3/4 is equal to 1/2. Keep up the great work!