To simplify \( \frac{4 \times 13}{3 \times (-5)} \), follow these steps:
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Calculate the numerator: \[ 4 \times 13 = 52 \]
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Calculate the denominator: \[ 3 \times (-5) = -15 \]
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Now, put the values back into the fraction: \[ \frac{52}{-15} \]
This can also be written as: \[ -\frac{52}{15} \]
So, the simplified form of \( \frac{4(13)}{3(-5)} \) is: \[ -\frac{52}{15} \]