Enzo, Kylie, and Rehana surveyed a total of 100 people for a group project. The fraction representing the total number of people each student surveyed is shown in the table. A 2-column table with 3 rows. Column 1 is unlabeled with entries Enzo, Kylie, Rehana. Column 2 is labeled Fraction of People Surveyed with entries two-fifths, one-fourth, StartFraction 35 over 100 EndFraction. Which lists the students in order from the person who surveyed the fewest people to the person who surveyed the most?

To order Enzo, Kylie, and Rehana from the one who surveyed the fewest people to the one who surveyed the most, we first need to understand the fraction of people each student surveyed and then convert these to actual numbers out of 100.

Enzo surveyed \(\frac{2}{5}\) of the people, Kylie surveyed \(\frac{1}{4}\) of the people, and Rehana surveyed \(\frac{35}{100}\) of the people.

Let's calculate the number of people each one surveyed:

For Enzo: \(\frac{2}{5} \times 100 = 40\) people

For Kylie: \(\frac{1}{4} \times 100 = 25\) people

For Rehana: \(\frac{35}{100} \times 100 = 35\) people

Now that we have the actual numbers, we can easily list them in order:

Kylie surveyed the fewest people with 25, Rehana is next with 35, and Enzo surveyed the most with 40 people.

So, the order from fewest to most is Kylie, Rehana, Enzo.

Extra: When comparing fractions, it's often helpful to convert them to a common denominator or to a direct numerical value, especially when the fractions represent parts of a whole that is clear, like in this case, 100 people.

The fractions such as \(\frac{2}{5}\), \(\frac{1}{4}\), and \(\frac{35}{100}\) can be tricky to compare at first glance because they have different denominators. However, if you multiply by the total number of people surveyed (100 in this case), you get whole numbers, which are much easier to compare.

It is also useful to note that the fraction \(\frac{35}{100}\) is already simplified and clearly shows that Rehana surveyed 35 people out of 100. This fraction is equivalent to the decimal 0.35 or 35%, all of which give us the same information but in different forms.

It's important when comparing fractions not only to look at the numbers but also to consider the context – in this case, a total of 100 surveys, which makes 100 a convenient common denominator and makes the comparison straightforward.