To find out how many cups of flour Bertie needs, you need to multiply the amount of flour required for one pan of biscuits by the number of pans she wants to bake.
Bertie needs \(2 \frac{1}{3}\) cups of flour for each pan and she wants to bake \(3 \frac{1}{2}\) pans.
First, let's convert these mixed numbers to improper fractions.
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Convert \(2 \frac{1}{3}\): \[ 2 \frac{1}{3} = \frac{2 \times 3 + 1}{3} = \frac{6 + 1}{3} = \frac{7}{3} \]
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Convert \(3 \frac{1}{2}\): \[ 3 \frac{1}{2} = \frac{3 \times 2 + 1}{2} = \frac{6 + 1}{2} = \frac{7}{2} \]
Next, multiply these two improper fractions: \[ \text{Flour needed} = \frac{7}{3} \times \frac{7}{2} = \frac{7 \times 7}{3 \times 2} = \frac{49}{6} \]
Now, convert \(\frac{49}{6}\) back to a mixed number: \[ 49 \div 6 = 8 \quad \text{(with a remainder of 1)} \] So we have: \[ \frac{49}{6} = 8 \frac{1}{6} \]
Thus, the total amount of flour Bertie needs is \(8 \frac{1}{6}\) cups.
The correct answer is 8 1/6.
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