To find an equivalent amount for \( \frac{2}{3} \) of a cup of flour, we can compare the given options.
- \( \frac{3}{3} \) of a cup: This equals 1 cup, which is not equivalent.
- \( \frac{1}{3} \) of a cup: This is less than \( \frac{2}{3} \), so it's not equivalent.
- \( \frac{5}{6} \) of a cup: To compare, convert \( \frac{2}{3} \) to sixths:
- \( \frac{2}{3} = \frac{4}{6} \) (by multiplying numerator and denominator by 2).
- This is also not equivalent since \( \frac{5}{6} \) is greater than \( \frac{4}{6} \).
- \( \frac{4}{6} \) of a cup: As found above, this is equivalent to \( \frac{2}{3} \).
Thus, the amount of flour that is equivalent to \( \frac{2}{3} \) of a cup is \( \frac{4}{6} \) of a cup.