To find out how much yogurt Sarah needs for 3 servings, we first take the amount of yogurt for one serving, which is \(2 \frac{1}{4}\) cups, and multiply it by 3.
First, let's convert \(2 \frac{1}{4}\) into an improper fraction:
\[ 2 \frac{1}{4} = \frac{2 \times 4 + 1}{4} = \frac{8 + 1}{4} = \frac{9}{4} \]
Now we multiply this by 3:
\[ 3 \times \frac{9}{4} = \frac{27}{4} \]
Next, we convert \(\frac{27}{4}\) back into a mixed number. To do this, we divide 27 by 4.
\[ 27 \div 4 = 6 \quad \text{(with a remainder of } 3\text{)} \]
So, we can express \(\frac{27}{4}\) as:
\[ 6 \frac{3}{4} \]
Thus, Sarah needs \(6 \frac{3}{4}\) cups of yogurt in total for 3 servings.
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