Final answer:
Zoey buys 3 1/2 yards of fabric.
Step-by-step explanation:
To find out how much fabric Zoey buys, we need to calculate 2/3 of 5 1/4 yards. To do that, we can convert 5 1/4 yards to an improper fraction by multiplying the whole number by the denominator and adding the numerator. This gives us 21/4 yards. Then we can multiply 21/4 by 2/3 to find out how much fabric Zoey buys. Multiplying the numerators gives us 42 and multiplying the denominators gives us 12. Simplifying the fraction gives us 3 1/2. Therefore, Zoey buys 3 1/2 yards of fabric.