Pregunta
Write the fraction as a percent. (See Example 4 in this section. Round your answers to one decimal place if necessary.) (a) \( \frac{1}{5} \) (b) \( \frac{7}{8} \) (c) \( \frac{1}{6} \) (d) \( 1 \frac{1}{3} \) \( \% \)
Ask by Olson Ruiz. in the United States
Mar 10,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
\( \frac{1}{5} = 20\% \), \( \frac{7}{8} = 87.5\% \), \( \frac{1}{6} = 16.7\% \), \( 1 \frac{1}{3} = 133.3\% \).
Solución
1. For \( \frac{1}{5} \):
- Divide: \( \frac{1}{5} = 0.2 \).
- Convert to percent: \( 0.2 \times 100 = 20\% \).
2. For \( \frac{7}{8} \):
- Divide: \( \frac{7}{8} = 0.875 \).
- Convert to percent: \( 0.875 \times 100 = 87.5\% \).
3. For \( \frac{1}{6} \):
- Divide: \( \frac{1}{6} \approx 0.1667 \) (rounded to four decimal places for intermediate steps).
- Convert to percent: \( 0.1667 \times 100 \approx 16.67\% \).
- Rounding to one decimal place gives: \( 16.7\% \).
4. For \( 1 \frac{1}{3} \):
- Convert the mixed number to an improper fraction: \( 1 \frac{1}{3} = \frac{4}{3} \).
- Divide: \( \frac{4}{3} \approx 1.3333 \) (rounded to four decimal places for intermediate steps).
- Convert to percent: \( 1.3333 \times 100 \approx 133.33\% \).
- Rounding to one decimal place gives: \( 133.3\% \).
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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The Deep Dive
To convert a fraction to a percent, you multiply it by 100 and add the percent symbol. For \( \frac{1}{5} \), you get 20%, as \( \frac{1}{5} \times 100 = 20 \). For \( \frac{7}{8} \), it’s 87.5%, calculated via \( \frac{7}{8} \times 100 = 87.5 \). For \( \frac{1}{6} \), this gives approximately 16.7% since \( \frac{1}{6} \times 100 \approx 16.67 \). Lastly, \( 1 \frac{1}{3} \) converts to 133.3%, derived from \( \frac{4}{3} \times 100 \approx 133.33 \). So, the final answers are: (a) 20%, (b) 87.5%, (c) 16.7%, (d) 133.3%.

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