Sure, let's find the fraction equivalent of [tex]\( 21 \frac{2}{3} \% \)[/tex].
1. Understand the mixed number percentage:
[tex]\( 21 \frac{2}{3} \% \)[/tex] is a mixed number where you have 21 whole parts and a fractional part of [tex]\( \frac{2}{3} \)[/tex].
2. Convert the fractional part to a decimal:
The fraction [tex]\( \frac{2}{3} \)[/tex] can be converted to a decimal. This decimal value is approximately [tex]\( 0.6667 \)[/tex].
3. Add the whole number and the decimal:
Combine the whole number (21) with the decimal part:
[tex]\[ 21 + 0.6667 = 21.6667 \approx 21.6667 \][/tex]
4. Convert the percentage to a fraction:
Now, we need to convert [tex]\( 21.6667 \% \)[/tex] into a fraction. A percentage is essentially the number divided by 100:
[tex]\[ \frac{21.6667}{100} \approx 0.2167 \][/tex]
So, [tex]\( 21 \frac{2}{3} \% \)[/tex] is approximately equal to [tex]\( 0.2167 \)[/tex] as a decimal fraction. Translating it into a fraction, we get [tex]\( \frac{21.6667}{100} \)[/tex].
Therefore, the fraction that is equal to [tex]\( 21 \frac{2}{3} \% \)[/tex] is [tex]\( \frac{21.6667}{100} \approx 0.2167 \)[/tex].
