Answer :
- Convert the mixed fraction percentage to a simple fraction: $16 \frac{2}{3}\% = \frac{50}{3}\%$.
- Convert the percentage to a fraction: $\frac{50}{3}\% = \frac{1}{6}$.
- Multiply the fraction by 186: $\frac{1}{6} \times 186 = \frac{186}{6}$.
- Calculate the result: $\frac{186}{6} = 31$. The final answer is $\boxed{31}$.
### Explanation
1. Understanding the Problem
We need to calculate $16 \frac{2}{3}\%$ of 186. This means we want to find what value corresponds to $16 \frac{2}{3}\%$ when applied to the number 186.
2. Converting to a Simple Fraction
First, let's convert the mixed fraction percentage to a simple fraction. We have $16 \frac{2}{3} = \frac{16 \times 3 + 2}{3} = \frac{48 + 2}{3} = \frac{50}{3}$. Therefore, $16 \frac{2}{3}\% = \frac{50}{3}\%$.
3. Converting Percentage to Fraction
Now, let's convert the percentage to a fraction by dividing by 100: $\frac{50}{3}\% = \frac{50}{3} \cdot \frac{1}{100} = \frac{50}{300} = \frac{1}{6}$.
4. Multiplying the Fraction by 186
Next, we multiply the fraction $\frac{1}{6}$ by 186: $\frac{1}{6} \times 186 = \frac{186}{6}$.
5. Calculating the Result
Finally, we calculate the result of the multiplication: $\frac{186}{6} = 31$. Therefore, $16 \frac{2}{3}\%$ of 186 is 31.
6. Final Answer
Thus, $16 \frac{2}{3} \%$ of 186 is $\boxed{31}$.
### Examples
Imagine you're at a store and there's a discount of $16 \frac{2}{3}\%$ on an item that originally costs $186. Calculating this percentage helps you determine the amount of the discount, which in this case is $31. This means you would save $31 on the item. Understanding percentages is useful in many real-life scenarios, such as calculating discounts, taxes, or tips.
- Convert the percentage to a fraction: $\frac{50}{3}\% = \frac{1}{6}$.
- Multiply the fraction by 186: $\frac{1}{6} \times 186 = \frac{186}{6}$.
- Calculate the result: $\frac{186}{6} = 31$. The final answer is $\boxed{31}$.
### Explanation
1. Understanding the Problem
We need to calculate $16 \frac{2}{3}\%$ of 186. This means we want to find what value corresponds to $16 \frac{2}{3}\%$ when applied to the number 186.
2. Converting to a Simple Fraction
First, let's convert the mixed fraction percentage to a simple fraction. We have $16 \frac{2}{3} = \frac{16 \times 3 + 2}{3} = \frac{48 + 2}{3} = \frac{50}{3}$. Therefore, $16 \frac{2}{3}\% = \frac{50}{3}\%$.
3. Converting Percentage to Fraction
Now, let's convert the percentage to a fraction by dividing by 100: $\frac{50}{3}\% = \frac{50}{3} \cdot \frac{1}{100} = \frac{50}{300} = \frac{1}{6}$.
4. Multiplying the Fraction by 186
Next, we multiply the fraction $\frac{1}{6}$ by 186: $\frac{1}{6} \times 186 = \frac{186}{6}$.
5. Calculating the Result
Finally, we calculate the result of the multiplication: $\frac{186}{6} = 31$. Therefore, $16 \frac{2}{3}\%$ of 186 is 31.
6. Final Answer
Thus, $16 \frac{2}{3} \%$ of 186 is $\boxed{31}$.
### Examples
Imagine you're at a store and there's a discount of $16 \frac{2}{3}\%$ on an item that originally costs $186. Calculating this percentage helps you determine the amount of the discount, which in this case is $31. This means you would save $31 on the item. Understanding percentages is useful in many real-life scenarios, such as calculating discounts, taxes, or tips.
