Answer :
Sure! Let's find [tex]\( 66 \frac{2}{3} \% \)[/tex] of 66 with a step-by-step approach:
1. Convert the Mixed Number to an Improper Fraction:
- [tex]\( 66 \frac{2}{3} \% \)[/tex] means 66 plus 2/3 as a percentage.
- First, express [tex]\( 66 \frac{2}{3} \)[/tex] as an improper fraction. [tex]\( 66 \frac{2}{3} \)[/tex] is [tex]\( 66 + \frac{2}{3} \)[/tex].
- Calculate: [tex]\( 66 = \frac{198}{3} \)[/tex] (since 66 times 3 is 198).
- Add: [tex]\( \frac{198}{3} + \frac{2}{3} = \frac{200}{3} \)[/tex].
2. Convert the Percentage to a Decimal:
- Put the fraction over 100 to convert it into a percent: [tex]\( \frac{200}{3} \times \frac{1}{100} = \frac{200}{300} \)[/tex].
- Simplify: [tex]\( \frac{200}{300} = \frac{2}{3} = 0.6667 \)[/tex] (approximately).
3. Calculate the Percentage of 66:
- Now calculate [tex]\( 0.6667 \times 66 \)[/tex].
- Multiply: [tex]\( 0.6667 \times 66 \approx 44 \)[/tex].
Therefore, [tex]\( 66 \frac{2}{3} \% \)[/tex] of 66 is approximately 44.
1. Convert the Mixed Number to an Improper Fraction:
- [tex]\( 66 \frac{2}{3} \% \)[/tex] means 66 plus 2/3 as a percentage.
- First, express [tex]\( 66 \frac{2}{3} \)[/tex] as an improper fraction. [tex]\( 66 \frac{2}{3} \)[/tex] is [tex]\( 66 + \frac{2}{3} \)[/tex].
- Calculate: [tex]\( 66 = \frac{198}{3} \)[/tex] (since 66 times 3 is 198).
- Add: [tex]\( \frac{198}{3} + \frac{2}{3} = \frac{200}{3} \)[/tex].
2. Convert the Percentage to a Decimal:
- Put the fraction over 100 to convert it into a percent: [tex]\( \frac{200}{3} \times \frac{1}{100} = \frac{200}{300} \)[/tex].
- Simplify: [tex]\( \frac{200}{300} = \frac{2}{3} = 0.6667 \)[/tex] (approximately).
3. Calculate the Percentage of 66:
- Now calculate [tex]\( 0.6667 \times 66 \)[/tex].
- Multiply: [tex]\( 0.6667 \times 66 \approx 44 \)[/tex].
Therefore, [tex]\( 66 \frac{2}{3} \% \)[/tex] of 66 is approximately 44.
