To convert [tex]\( 8 \frac{1}{8} \% \)[/tex] to a decimal, follow these steps:
1. Convert the mixed number to an improper fraction:
- The mixed number [tex]\( 8 \frac{1}{8} \)[/tex] consists of the whole number 8 and the fraction [tex]\( \frac{1}{8} \)[/tex].
- To convert [tex]\( 8 \frac{1}{8} \)[/tex] to an improper fraction, you multiply the whole number by the denominator and add the numerator:
[tex]\[
8 \frac{1}{8} = 8 + \frac{1}{8} = \frac{8 \times 8 + 1}{8} = \frac{64 + 1}{8} = \frac{65}{8}
\][/tex]
2. Convert the percentage to a decimal:
- Percent means per hundred, so to convert a percentage to a decimal, divide by 100.
- First, convert the mixed number [tex]\( 8 \frac{1}{8} \)[/tex] to a single numerical value: [tex]\( 8 \frac{1}{8} = 8.125 \)[/tex].
- Now, divide this value by 100 to get the decimal form:
[tex]\[
8.125 \% = \frac{8.125}{100} = 0.08125
\][/tex]
So, the decimal representation of [tex]\( 8 \frac{1}{8} \% \)[/tex] is [tex]\( 0.08125 \)[/tex].
