which model shows $33\\frac{1}{3}\\%$?
which model shows $33\\frac{1}{3}\\%$?
Answer
Explanation:
Step1: Convert percent to fraction
First, convert $33\frac{1}{3}%$ to a fraction. Recall that $%$ means "per 100", so: $$33\frac{1}{3}% = \frac{33\frac{1}{3}}{100} = \frac{\frac{100}{3}}{100} = \frac{1}{3}$$
Step2: Analyze each model
- Top model: 1 out of 5 shaded, which is $\frac{1}{5}=20%$, not $33\frac{1}{3}%$.
- Middle model: 2 out of 9 shaded, which is $\frac{2}{9}\approx22.2%$, not $33\frac{1}{3}%$.
- Bottom model: 1 out of 3 shaded, which is $\frac{1}{3}=33\frac{1}{3}%$.
Answer:
The bottom model (1 out of 3 equal parts shaded) represents $33\frac{1}{3}%$.