To multiply the fractions \(\frac{5}{4} \times \frac{3}{5}\), follow these steps:
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Multiply the numerators together: \[ 5 \times 3 = 15 \]
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Multiply the denominators together: \[ 4 \times 5 = 20 \]
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Now, combine the results into a single fraction: \[ \frac{15}{20} \]
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Simplify the fraction. Both the numerator and denominator can be divided by their greatest common divisor, which is 5: \[ \frac{15 \div 5}{20 \div 5} = \frac{3}{4} \]
Thus, the simplified answer is: \[ \frac{3}{4} \]