To convert the mixed number \( 7 \frac{3}{5} \) to an improper fraction, we can follow these steps:
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Multiply the whole number part by the denominator: \( 7 \times 5 = 35 \).
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Add the numerator to this result: \( 35 + 3 = 38 \).
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Put this result over the original denominator: \( \frac{38}{5} \).
Thus, the mixed number \( 7 \frac{3}{5} \) expressed as an improper fraction is \( \frac{38}{5} \).