Question

At Lewis College, 2/5 of the students are enrolled in an art class. Of the students enrolled in an art class, 2/3 are enrolled in a painting class. What fraction of the students at Lewis College are enrolled in a painting class?

Answer 1

Let's work through this step by step together!!
\^^/:

Step 1: Find the fraction of students enrolled in an art class: \(2/5\).
Step 2: Find the fraction of art class students enrolled in a painting class: \(2/3\).
Step 3: Multiply the two fractions:

\[
\frac{2}{5} \cdot \frac{2}{3}
\]

To multiply fractions, we multiply the numerators together and the denominators together:

\[
\frac{2 \cdot 2}{5 \cdot 3} = \frac{4}{15}
\]

Therefore, \(4/15\)

of the students at Lewis College are enrolled in a painting class.

Answer 2

By multiplying the fraction of Lewis College students enrolled in an art class (2/5) by the fraction of those art students enrolled in a painting class (2/3), we find that 4/15 of the students are enrolled in a painting class.

Step-by-step explanation:

To find out what fraction of the students at Lewis College are enrolled in a painting class, we need to perform a simple multiplication of fractions. Since 2/5 of the students are enrolled in an art class, and of those, 2/3 are enrolled in a painting class, we can calculate the fraction of students enrolled in a painting class by multiplying these two fractions:

• Fraction of students in art class = 2/5
• Fraction of art students in painting class = 2/3

We multiply these to get the overall fraction of students in a painting class:

• (2/5) × (2/3) = 4/15

Therefore, 4/15 of the students at Lewis College are enrolled in a painting class.