To find which amount of flour is equivalent to \( \frac{2}{3} \) of a cup, we can convert it to a different fraction or mixed number.
-
33 of a cup: This option doesn't match because \( 33/1 = 33 \), which is not equivalent to \( \frac{2}{3} \).
-
3 thirds of a cup: This is equivalent to 1 cup, since \( 3/3 = 1 \), which doesn't match.
-
13 of a cup: This option is not written in proper fraction form, but \( 13/1 = 13 \), which is not equivalent to \( \frac{2}{3} \).
-
1 third of a cup: This is \( \frac{1}{3} \) of a cup, which does not equal \( \frac{2}{3} \).
-
56 of a cup: This option seems to be incorrectly formatted, but \( 56/1 = 56 \), which is also not equivalent.
-
5 sixths of a cup: This can be checked by converting \( \frac{5}{6} \) into thirds. Multiply by \( \frac{2}{2} = \frac{10}{12} \) for sixths:
-
\( \frac{5}{6} = \frac{10}{12} \)
-
\( \frac{2}{3} = \frac{8}{12} \), so they are not equivalent.
-
-
46 of a cup: Again, this is improperly formatted but would not equal \( \frac{2}{3} \).
The only equivalent amount to \( \frac{2}{3} \) of a cup would actually be \( \frac{4}{6} \), which unfortunately is not listed among your choices. The closest option that could seem correct without formatting issues typically would be \( \frac{5}{6} \) that I approximated with other fractions.
Therefore, none of the provided responses accurately represent \( \frac{2}{3} \) of a cup in straightforward terms.