Mariana's bread recipe calls for 2/3

of a cup of flour. Which amount of flour is equivalent?(1 point)
Responses

3/3
of a cup
3 thirds of a cup

1/3
of a cup
1 third of a cup

5/6
of a cup
5 sixths of a cup

4/6
of a cup

1 answer

To find an equivalent amount for \( \frac{2}{3} \) of a cup of flour, we can compare the given options.

  1. \( \frac{3}{3} \) of a cup: This equals 1 cup, which is not equivalent.
  2. \( \frac{1}{3} \) of a cup: This is less than \( \frac{2}{3} \), so it's not equivalent.
  3. \( \frac{5}{6} \) 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 \( \frac{4}{6} \).
  4. \( \frac{4}{6} \) 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.