\( 4.9 \% \) is equivalent to what fraction in reauced terms?

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 \( \frac{49}{1000} \).**