Mariana's bread recipe calls for 2/3

Question

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

Answer 1

To determine which amount of flour is equivalent to \( \frac{2}{3} \) of a cup, let’s evaluate the provided options:

1. \( \frac{3}{3} \) of a cup - This is equivalent to 1 cup, which is not equal to \( \frac{2}{3} \).

2. \( \frac{1}{3} \) of a cup - This is less than \( \frac{2}{3} \).

3. \( \frac{5}{6} \) of a cup - To compare \( \frac{5}{6} \) to \( \frac{2}{3} \), we can convert \( \frac{2}{3} \) to have a denominator of 6: \[ \frac{2}{3} = \frac{2 \times 2}{3 \times 2} = \frac{4}{6} \] Since \( \frac{5}{6} \) is greater than \( \frac{4}{6} \), this option is not equivalent.

4. \( \frac{4}{6} \) of a cup - We already determined that \( \frac{2}{3} = \frac{4}{6} \), so this option is equivalent.

The correct answer is \( \frac{4}{6} \) of a cup.