Certainly! Let's go step-by-step to answer the question.
1. Determine the percentage:
First, we need to find out what percentage 15 is out of 50. To do this, we use the formula:
[tex]\[
\text{Percentage} = \left(\frac{\text{Part}}{\text{Whole}}\right) \times 100
\][/tex]
Here, the part is 15, and the whole is 50. Plugging these numbers into the formula, we get:
[tex]\[
\text{Percentage} = \left(\frac{15}{50}\right) \times 100
\][/tex]
Performing the division:
[tex]\[
\frac{15}{50} = 0.3
\][/tex]
Then, multiply by 100 to get the percentage:
[tex]\[
0.3 \times 100 = 30
\][/tex]
So, 15 is 30% of 50.
2. Compare the percentage to given options:
The given options are:
- 30
- 35
- 25
- 40
The percentage we calculated is 30. Therefore, the option that matches this percentage is:
[tex]\[
\boxed{30}
\][/tex]
3. Determine the largest fraction:
Next, we need to identify the largest fraction among the given options:
- [tex]\(\frac{30}{100}\)[/tex]
- [tex]\(\frac{35}{100}\)[/tex]
- [tex]\(\frac{25}{100}\)[/tex]
- [tex]\(\frac{40}{100}\)[/tex]
We can compare these fractions directly because they all have a common denominator (100). It means we just need to compare the numerators:
- 30
- 35
- 25
- 40
Clearly, 40 is the largest numerator. Therefore, the largest fraction is:
[tex]\[
\frac{40}{100}
\][/tex]
So, summarizing:
- The percentage of 15 out of 50 is 30%.
- Among the options given, the number that represents this percentage is 30.
- The largest fraction given in the options is [tex]\(\frac{40}{100}\)[/tex].
