To find out how many cups of condensed soup were in the can, we need to subtract the amount of milk from the total amount of soup.
- First, let's convert the mixed numbers into improper fractions.
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For \(1 \frac{1}{3}\): \[ 1 \frac{1}{3} = \frac{4}{3} \]
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For \(2 \frac{5}{8}\): \[ 2 \frac{5}{8} = \frac{16}{8} + \frac{5}{8} = \frac{21}{8} \]
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Now, we can set up the equation to find the amount of condensed soup (\(x\)): \[ x + \frac{4}{3} = \frac{21}{8} \]
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Solve for \(x\): \[ x = \frac{21}{8} - \frac{4}{3} \]
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To subtract these fractions, we need a common denominator. The least common multiple of \(8\) and \(3\) is \(24\).
Convert the fractions:
- Convert \(\frac{21}{8}\): \[ \frac{21}{8} = \frac{21 \times 3}{8 \times 3} = \frac{63}{24} \]
- Convert \(\frac{4}{3}\): \[ \frac{4}{3} = \frac{4 \times 8}{3 \times 8} = \frac{32}{24} \]
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Now we can subtract: \[ x = \frac{63}{24} - \frac{32}{24} = \frac{31}{24} \]
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Convert \( \frac{31}{24} \) back to a mixed number: \[ \frac{31}{24} = 1 \frac{7}{24} \]
Thus, the amount of condensed soup in the can is \(\frac{31}{24}\) cups, or \(1 \frac{7}{24}\) cups.