\( \left\lvert\,<\underbrace{3 \frac{3}{4} \%}\right. \) Convert to a decimal number.
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Solución
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The Deep Dive
To convert \(3 \frac{3}{4} \%\) to a decimal, first convert the mixed number into an improper fraction. The fraction \(3 \frac{3}{4}\) can be expressed as \(\frac{15}{4}\). Next, convert the percentage to a decimal by dividing by 100: \[ \frac{15}{4} \div 100 = \frac{15}{4} \times \frac{1}{100} = \frac{15}{400} = 0.0375. \] So, \(3 \frac{3}{4} \% = 0.0375\) when expressed as a decimal. Lastly, remember that working with percentages can often trip up. A common mistake is to forget to convert the percent before doing other operations or to miscalculate the mixed number. Always make sure to convert properly!
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