Question

Mariana's bread recipe calls for 23
of a cup of flour. Which amount of flour is equivalent?(1 point)
Responses

46
of a cup
4 sixths of a cup

56
of a cup
5 sixths of a cup

13
of a cup
1 third of a cup

33
of a cup

Answer 1

To determine which amount of flour is equivalent to \( \frac{2}{3} \) of a cup, we can convert \( \frac{2}{3} \) to an equivalent fraction or compare it to the provided options.

1. **Multiply by the same number**: To create an equivalent fraction, we can multiply both the numerator and the denominator of \( \frac{2}{3} \) by the same number.

For example, multiplying by 2:
\[
\frac{2}{3} \times \frac{2}{2} = \frac{4}{6}
\]

2. **Check with Options**:
- **46 of a cup**: This doesn't relate to the fraction format.
- **4 sixths of a cup**: This simplifies to \( \frac{4}{6} \), which is equivalent to \( \frac{2}{3} \).
- **56 of a cup**: This doesn't relate to the fraction format.
- **5 sixths of a cup**: This would be \( \frac{5}{6} \), not equivalent.
- **13 of a cup**: This doesn't relate to the fraction format.
- **1 third of a cup**: This would be \( \frac{1}{3} \), not equivalent.
- **33 of a cup**: This doesn't relate to the fraction format.

From this analysis, the correct answer is:
**4 sixths of a cup**.