To convert \(6 \frac{1}{2} \% \) to a decimal, follow these steps:
1. First, convert the mixed number to an improper fraction:
- \(6 \frac{1}{2}\) can be written as \(6 + \frac{1}{2}\).
- Convert \(6\) to a fraction with the same denominator as the fraction part: \(6 = \frac{12}{2}\).
- Add the two fractions: \(\frac{12}{2} + \frac{1}{2} = \frac{13}{2}\).
2. Convert the improper fraction to a decimal:
- Divide the numerator by the denominator: \(\frac{13}{2} = 6.5\).
3. Convert the percentage to a decimal:
- A percentage is a number out of 100. So, to convert \(6.5\%\) to a decimal, divide by 100.
- \(6.5 \% = \frac{6.5}{100} = 0.065\).
Thus, [tex]\(6 \frac{1}{2} \% \)[/tex] converted to a decimal is [tex]\(0.065\)[/tex].
