At Clark College, 4/5 of the students are enrolled in an art class. Of the students enrolled in an art class, 1/2 are enrolled in a painting class. What fraction of the students at Clark College are enrolled in a painting class?


To determine the fraction of students at Clark College enrolled in a painting class, we'll follow these steps:

1. **Fraction of students enrolled in an art class**:  
   \( \frac{4}{5} \) of the students are enrolled in an art class.

2. **Fraction of art students enrolled in a painting class**:  
   \( \frac{1}{2} \) of the students enrolled in an art class are also enrolled in a painting class.

3. **Fraction of all students enrolled in a painting class**:  
   To find this, multiply the fraction of students enrolled in an art class by the fraction of those who are enrolled in a painting class.

\[
\text{Fraction of all students enrolled in a painting class} = \frac{4}{5} \times \frac{1}{2} = \frac{4 \times 1}{5 \times 2} = \frac{4}{10} = \frac{2}{5}
\]

So, \( \frac{2}{5} \) of the students at Clark College are enrolled in a painting class.

Would you like more details or have any questions about this solution? Here are some related questions to think about:

1. If there are 500 students at Clark College, how many are enrolled in a painting class?
2. What fraction of students are not enrolled in any art class?
3. If \( \frac{3}{5} \) of the painting students are also enrolled in a sculpture class, what fraction of all students are enrolled in both painting and sculpture classes?
4. How would the solution change if \( \frac{3}{4} \) of art students were enrolled in a painting class instead?
5. What is the probability that a randomly selected student is not enrolled in a painting class?

**Tip:** When multiplying fractions, simplify the fractions first if possible to make the calculations easier and more accurate.

Discover how to find the fraction of students enrolled in a painting class at Clark College using fractions and proportions. Follow a step-by-step explanation to solve this math problem. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation