In a group of ten students, if four students have glasses, what fraction of the group wears glasses?

• A. 1/5
• B. 1/4
• C. 2/5
• D. 1/2

Answer: (C)

To determine the fraction of the group that wears glasses, you start by identifying how many students wear glasses compared to the total number of students in the group. In this scenario, there are four students who wear glasses out of a total of ten students.

To express this as a fraction, you place the number of students with glasses over the total number of students. This gives you 4 (students with glasses) divided by 10 (total students), which can be written as the fraction 4/10.

Next, you should simplify this fraction to its lowest terms by finding the greatest common divisor. Both the numerator (4) and the denominator (10) can be divided by 2. When you do this, you get:

4 ÷ 2 = 2

10 ÷ 2 = 5

So, the simplified fraction is 2/5. This tells us that 2 out of every 5 students in the group wears glasses. This fraction, 2/5, accurately represents the proportion of students with glasses among the entire group, making it the correct answer.