Mariana's bread recipe calls for 13 of a cup of flour. Which amount of flour is equivalent?(1 point) Responses 14 of a cup 1 fourth of a cup 23 of a cup 2 thirds of a cup 46 of a cup 4 sixths of a cup 412 of a cup

1 answer

To find an equivalent amount to \( \frac{1}{3} \) of a cup, we can consider common fractions that sum to the same amount.

  1. 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.

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.