Question
\( 4.9 \% \) is equivalent to what fraction in reauced terms?
Ask by Newton Sullivan. in the United States
Feb 03,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( 4.9\% \) is equal to \( \frac{49}{1000} \).
Solution
To convert \( 4.9\% \) to a reduced fraction, follow these steps:
1. **Understand Percentage to Fraction Conversion:**
Percent means "per hundred," so:
\[
4.9\% = \frac{4.9}{100}
\]
2. **Eliminate the Decimal:**
Multiply both numerator and denominator by 10 to remove the decimal:
\[
\frac{4.9 \times 10}{100 \times 10} = \frac{49}{1000}
\]
3. **Simplify the Fraction:**
Check if the numerator and denominator have any common factors:
- **49** factors into \( 7 \times 7 \)
- **1000** factors into \( 2^3 \times 5^3 \)
Since there are no common factors between 49 and 1000 other than 1, the fraction is already in its simplest form.
4. **Final Answer:**
\[
4.9\% = \frac{49}{1000}
\]
**Therefore, \( 4.9\% \) is equivalent to the reduced fraction \( \frac{49}{1000} \).**
Reviewed and approved by the UpStudy tutoring team
Like
error msg
Explain 
Simplify this solution Mind Expander
To convert \( 4.9\% \) into a fraction, we start by expressing it as \( \frac{4.9}{100} \). To eliminate the decimal, we can multiply the numerator and the denominator by 10 to get \( \frac{49}{1000} \). Now we reduce this fraction if possible. The greatest common divisor (GCD) of 49 and 1000 is 1, so \( \frac{49}{1000} \) is already in its simplest form. Thus, \( 4.9\% \) as a fraction in reduced terms is \( \frac{49}{1000} \).
