Mariana's bread recipe calls for 1/3 of a cup of flour. Which amount of flour is equivalent?(1 point)

Responses

2/3
of a cup
2 thirds of a cup

4/12
of a cup
4 over 12 of a cup

4/6
of a cup
4 sixths of a cup

1/4
of a cup

1 answer

To determine which of the options is equivalent to \( \frac{1}{3} \) of a cup of flour, we can convert \( \frac{1}{3} \) to have a common denominator with the other fractions or simplify the equivalent fractions.

  1. \( \frac{2}{3} \) of a cup - This is not equivalent. It's greater than \( \frac{1}{3} \).
  2. \( \frac{4}{12} \) of a cup - This is equivalent to \( \frac{1}{3} \) since \( \frac{4}{12} = \frac{1}{3} \) (both can be simplified by dividing by 4).
  3. \( \frac{4}{6} \) of a cup - This is not equivalent. \( \frac{4}{6} = \frac{2}{3} \) after simplification.
  4. \( \frac{1}{4} \) of a cup - This is not equivalent. It's less than \( \frac{1}{3} \).

Thus, the correct equivalent amount of flour is:

\( \frac{4}{12} \) of a cup.