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The question states:

- \( \frac{2}{3} \) of all homeowners have a pet.
- Of those, \( \frac{3}{4} \) have either a dog or a cat.

We need to find the fraction of the homeowners who have either a dog or a cat.

### Solution:
To solve this, we need to multiply the two fractions:

\[
\text{Fraction of homeowners with either a dog or cat} = \frac{2}{3} \times \frac{3}{4}
\]

Multiply the numerators and the denominators:

\[
\frac{2 \times 3}{3 \times 4} = \frac{6}{12} = \frac{1}{2}
\]

So, half of the homeowners have either a dog or a cat.

Would you like more details, or do you have any other questions?

Here are 5 related questions:
1. If \( \frac{1}{2} \) of all homeowners have either a dog or cat, what fraction have neither?
2. What fraction of the homeowners have pets other than dogs or cats?
3. If 600 homeowners were surveyed, how many have either a dog or cat?
4. If the total number of homeowners is 1,200, how many own pets?
5. If \( \frac{3}{4} \) of those with pets have a dog, what fraction of the total homeowners own dogs?

**Tip:** When multiplying fractions, remember to multiply the numerators and denominators directly, and then simplify if possible.

A survey shows that 2/3 of all homeowners have a pet. Of those, 3/4 have either a dog or cat. What fraction of the homeowners has either a dog or a cat?

Solve a fraction problem where 2/3 of homeowners have pets, and 3/4 of those have either a dog or cat. Learn how to multiply and simplify fractions in this step-by-step solution, suitable for Grades 5-7.

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