Question

A middle school with 375 students has 125 students in the eighth grade. Irene says that the eighth-grade class makes up of the school. Yolanda says that the eighth-grade class makes up of the school. Fernando says that the eighth-grade class makes up of the school.

A. Convert each student’s decimal into a fraction.

B. Which student’s decimal is correct?

C. Which student’s decimal represents the population of the rest of the middle school instead of the eighth-grade class?

Answer 1

Based on calculations, Fernando is correct in saying that the eighth-grade class makes up 1/3 of the school's population. Part A asked for the conversion of decimals to fractions, Part B identified the correct fraction, and Part C determined which decimal might correspond to the population of the rest of the school.

Step-by-step explanation:

A middle school with 375 students has 125 students in the eighth grade. To determine which student is correct in identifying the fraction of the school that the eighth-grade class makes up, we need to divide the number of eighth-grade students by the total number of students and convert the decimal to a fraction.

• Step 1: Calculate the fraction: 125 (eighth graders) / 375 (total students) = 0.333...
• Step 2: Convert the decimal to a fraction: 0.333... corresponds to the fraction 1/3.
• Step 3: Determine which student is correct: Fernando claims the eighth-grade class makes up 1/3 of the school, which matches our calculation.

Part A: Converting each student's decimal:

• Irene's decimal is not provided in the question.
• Yolanda's decimal, if provided, would be converted to a fraction.
• Fernando's decimal, 0.333..., is converted to 1/3.

Part B: Fernando's fraction is correct since the eighth-grade class makes up exactly 1/3 of the school.

Part C: Yolanda's decimal, if it represented more than 1/3, could represent the population of the rest of the middle school instead of the eighth-grade class.