Question
Change the percent to a fraction or mixed number. Simplify. \( 27 \% \)
Ask by Ortega Wade. in the United States
Jan 20,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( \frac{27}{100} \)
Solution
To convert \(27\%\) to a fraction and simplify:
1. **Understand that "percent" means "per hundred":**
\[
27\% = \frac{27}{100}
\]
2. **Simplify the fraction:**
- Find the greatest common divisor (GCD) of 27 and 100.
- The prime factors of 27 are \(3 \times 3 \times 3\).
- The prime factors of 100 are \(2 \times 2 \times 5 \times 5\).
- There are no common factors other than 1.
Therefore, \(\frac{27}{100}\) is already in its simplest form.
**Final Answer:**
\[
\frac{27}{100}
\]
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Extra Insights
To convert \( 27\% \) to a fraction, we start by expressing it as \( \frac{27}{100} \). This fraction is already in its simplest form because 27 and 100 share no common factors other than 1. So, the answer is \( \frac{27}{100} \). For a mixed number, we note that \( 27\% \) doesn't exceed 100%, so it remains just a fraction rather than converting to a mixed number. However, if you’d like to think of it in terms of parts of a whole, you could say it represents 27 parts out of 100!
