Find \( \frac{4}{5}(-4.75) \). Write in the simplest form
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Solución
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The Deep Dive
To find \( \frac{4}{5}(-4.75) \), you can first convert -4.75 to a fraction. -4.75 is the same as \( -\frac{19}{4} \). Now, multiply: \[ \frac{4}{5} \times -\frac{19}{4} \] The 4s in the numerator and denominator cancel out: \[ =\frac{4 \cdot (-19)}{5 \cdot 1} = \frac{-76}{5} \] So, the answer is \( -\frac{76}{5} \). Now, this is an improper fraction, which is perfectly fine, but you can convert it to a mixed number for simplicity: \(-\frac{76}{5} = -15 \frac{1}{5}\) Thus, the simplest form of the answer is \( -\frac{76}{5} \) or \( -15 \frac{1}{5} \).
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