Question
A recipe calls for 34 cup of sugar. If you want to make 1 12 times the recipe, you’ll need ____ cups of sugar.
Answers
GPT-4o mini
To find out how much sugar you'll need for 1 1/2 times the recipe, you first convert the mixed number into an improper fraction.
1 1/2 can be converted as follows:
1 * 2 + 1 = 2 + 1 = 3/2.
Now, you multiply the amount of sugar in the original recipe (3/4 cup) by 3/2:
\[
\frac{3}{4} \times \frac{3}{2} = \frac{3 \times 3}{4 \times 2} = \frac{9}{8}.
\]
Now, you have 9/8 cups of sugar. This can also be expressed as:
\[
9/8 = 1 \frac{1}{8}.
\]
Therefore, to make 1 1/2 times the recipe, you’ll need **1 1/8 cups of sugar**.
1 1/2 can be converted as follows:
1 * 2 + 1 = 2 + 1 = 3/2.
Now, you multiply the amount of sugar in the original recipe (3/4 cup) by 3/2:
\[
\frac{3}{4} \times \frac{3}{2} = \frac{3 \times 3}{4 \times 2} = \frac{9}{8}.
\]
Now, you have 9/8 cups of sugar. This can also be expressed as:
\[
9/8 = 1 \frac{1}{8}.
\]
Therefore, to make 1 1/2 times the recipe, you’ll need **1 1/8 cups of sugar**.