To find out how much more flour Cho used to bake the loaf of bread than the cake, we need to subtract the amount of flour used for the cake from the amount used for the loaf of bread.
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Convert the mixed numbers to improper fractions:
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For cake: \[ 2 \frac{1}{3} = \frac{2 \times 3 + 1}{3} = \frac{6 + 1}{3} = \frac{7}{3} \]
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For bread: \[ 3 \frac{1}{4} = \frac{3 \times 4 + 1}{4} = \frac{12 + 1}{4} = \frac{13}{4} \]
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Find a common denominator to perform the subtraction. The least common multiple of 3 and 4 is 12.
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Convert each fraction to have a denominator of 12:
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For cake: \[ \frac{7}{3} = \frac{7 \times 4}{3 \times 4} = \frac{28}{12} \]
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For bread: \[ \frac{13}{4} = \frac{13 \times 3}{4 \times 3} = \frac{39}{12} \]
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Now perform the subtraction: \[ \frac{39}{12} - \frac{28}{12} = \frac{39 - 28}{12} = \frac{11}{12} \]
Thus, Cho used \(\frac{11}{12}\) cups more flour to bake the loaf of bread than to bake the cake.