To find an equivalent amount to \( \frac{1}{3} \) of a cup, we can consider common fractions that sum to the same amount.
- Finding Equivalent Fraction:
- \( \frac{1}{3} \) can also be represented by multiplying it by a factor. For example:
- \( \frac{1}{3} \) is equivalent to \( \frac{2}{6} \) (since \( 1 \times 2 = 2 \) and \( 3 \times 2 = 6 \)).
- It can also be expressed as \( \frac{4}{12} \) (since \( 1 \times 4 = 4 \) and \( 3 \times 4 = 12 \)).
- \( \frac{1}{3} \) cannot be expressed as \( \frac{1}{4} \), \( \frac{2}{3} \), or \( \frac{4}{6} \) because those would represent different amounts.
- \( \frac{1}{3} \) can also be represented by multiplying it by a factor. For example:
From the options given:
- \( \frac{4}{12} \) of a cup is equivalent to \( \frac{1}{3} \) of a cup.
Therefore, the correct response is \( \frac{4}{12} \) of a cup.