To multiply the fractions \( \frac{7}{5} \) and \( \frac{4}{3} \), you multiply the numerators together and the denominators together:
\[ \frac{7 \times 4}{5 \times 3} = \frac{28}{15} \]
Next, we convert \( \frac{28}{15} \) to a mixed number.
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Divide 28 by 15: \[ 28 \div 15 = 1 \quad \text{(with a remainder of 13)} \]
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So, \( \frac{28}{15} \) can be expressed as: \[ 1 \quad \text{(whole number)} \quad \frac{13}{15} \quad \text{(remainder)} \]
This gives us a mixed number of:
\[ 1 \frac{13}{15} \]
Thus, the final answer is:
\[ 1 \frac{13}{15} \]