Question
A recipe calls for 2/3 cup of brown sugar if Nate wants to make one 1/4 of the recipe how many cups of brown sugar should Nate use
Answers
Answered by
GPT-4o mini
To find out how much brown sugar Nate should use for 1/4 of the recipe, we can multiply the amount of brown sugar in the original recipe by 1/4.
The original amount of brown sugar is \( \frac{2}{3} \) cup.
Now, calculate \( \frac{1}{4} \) of \( \frac{2}{3} \):
\[
\frac{1}{4} \times \frac{2}{3} = \frac{1 \times 2}{4 \times 3} = \frac{2}{12}
\]
We can simplify \( \frac{2}{12} \) to \( \frac{1}{6} \).
Thus, Nate should use **\( \frac{1}{6} \) cup** of brown sugar to make 1/4 of the recipe.
The original amount of brown sugar is \( \frac{2}{3} \) cup.
Now, calculate \( \frac{1}{4} \) of \( \frac{2}{3} \):
\[
\frac{1}{4} \times \frac{2}{3} = \frac{1 \times 2}{4 \times 3} = \frac{2}{12}
\]
We can simplify \( \frac{2}{12} \) to \( \frac{1}{6} \).
Thus, Nate should use **\( \frac{1}{6} \) cup** of brown sugar to make 1/4 of the recipe.
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