To solve the problem, we first need to represent the whole numbers and fractions clearly.
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Convert the mixed numbers into improper fractions:
- \(3\) wholes and \(3\) fifths can be written as: \[ 3 \frac{3}{5} = \frac{3 \times 5 + 3}{5} = \frac{15 + 3}{5} = \frac{18}{5} \]
- \(2\) wholes and \(4\) fifths can be written as: \[ 2 \frac{4}{5} = \frac{2 \times 5 + 4}{5} = \frac{10 + 4}{5} = \frac{14}{5} \]
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Now, we need to subtract these two improper fractions: \[ \frac{18}{5} - \frac{14}{5} \] Since the denominators are the same, we can subtract the numerators: \[ \frac{18 - 14}{5} = \frac{4}{5} \]
Thus, the result of \(3\) wholes and \(3\) fifths minus \(2\) wholes and \(4\) fifths is \(\frac{4}{5}\).