Mariana's bread recipe calls for 23

Question

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.