To find the total amount of flour needed for the recipe, you'll need to add the amounts of regular flour and wheat flour together.
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Convert the measurements to improper fractions:
- For the regular flour: \[ 1 \frac{2}{3} = \frac{3 \times 1 + 2}{3} = \frac{3 + 2}{3} = \frac{5}{3} \]
- For the wheat flour: \[ 2 \frac{1}{4} = \frac{4 \times 2 + 1}{4} = \frac{8 + 1}{4} = \frac{9}{4} \]
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Find a common denominator for the fractions \(\frac{5}{3}\) and \(\frac{9}{4}\). The least common multiple of 3 and 4 is 12.
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Convert both fractions to have a denominator of 12:
- For \(\frac{5}{3}\): \[ \frac{5}{3} = \frac{5 \times 4}{3 \times 4} = \frac{20}{12} \]
- For \(\frac{9}{4}\): \[ \frac{9}{4} = \frac{9 \times 3}{4 \times 3} = \frac{27}{12} \]
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Add the two fractions together: \[ \frac{20}{12} + \frac{27}{12} = \frac{20 + 27}{12} = \frac{47}{12} \]
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Convert \(\frac{47}{12}\) to a mixed number:
- Divide 47 by 12, which gives 3 with a remainder of 11. Therefore: \[ \frac{47}{12} = 3 \frac{11}{12} \]
Thus, the total amount of flour needed is \(3 \frac{11}{12}\) cups.
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