In the fourth grade class at Baker Elementary, 9 students are left-handed. The fifth grade has 7 left-handed students and the sixth grade has 6. The number of students in the fourth grade is 3 times the number of left-handed students in the class. The sixth grade has 3 more students than the fourth grade, and the fifth gradehas two fewer students than the sixth grade. Which grade has the greatest fraction of left-handed students?

4th Grade:

9 Left-handed students.
Total = 3 * 9 = 27 Students.
9/27 = 1/3 Are left-handed.

5th Grade:
7 Left-handed students.
Total = 30-2 = 28 Sudents.
7/28 = 1/4 Are left-handed.

6th Grade:
6 Left-handed students.
Total = 27+3 = 30 Students.
6/30 = 1/5 Are left-handed.

The 4th Grade has the greatest fraction of left-handed students.

Thank you Henry for showing me how to solve the problem!

I'm glad I could help, and thanks for your response.

wow

To determine which grade has the greatest fraction of left-handed students, we need to calculate the fraction of left-handed students in each grade.

Let's start by finding the number of students in each grade:

Number of left-handed students in the fourth grade = 9
So, number of students in the fourth grade = 3 * 9 = 27

Number of left-handed students in the fifth grade = 7
Number of students in the fifth grade = number of students in the sixth grade - 2 (given)
So, number of students in the fifth grade = 27 + 3 - 2 = 28

Number of left-handed students in the sixth grade = 6
Number of students in the sixth grade = number of students in the fourth grade + 3 (given)
So, number of students in the sixth grade = 27 + 3 = 30

Now, let's calculate the fraction of left-handed students in each grade:

Fraction of left-handed students in the fourth grade = (Number of left-handed students in the fourth grade) / (Number of students in the fourth grade) = 9/27 = 1/3

Fraction of left-handed students in the fifth grade = (Number of left-handed students in the fifth grade) / (Number of students in the fifth grade) = 7/28 = 1/4

Fraction of left-handed students in the sixth grade = (Number of left-handed students in the sixth grade) / (Number of students in the sixth grade) = 6/30 = 1/5

Comparing the fractions, we can see that the greatest fraction of left-handed students is in the fourth grade (1/3).