In a classroom there are 6 3rd-grade students and 10 6th-grade students. Express the ratio of 3rd graders to the entire number of students as a fraction
The entire number of students in the classroom is 6 + 10 = <<6+10=16>>16.
The ratio of 3rd graders to the entire number of students is 6/16 = <<6/16=3/8>>3/8. Answer: \boxed{\frac{3}{8}}.
To express the ratio of 3rd graders to the entire number of students as a fraction, we need to determine the total number of students in the classroom.
The number of 3rd-grade students is 6, and the number of 6th-grade students is 10. So, the total number of students in the classroom is 6 + 10 = 16.
To express the ratio of 3rd graders to the entire number of students as a fraction, we can write it as:
3rd-grade students / total number of students
Plugging in the values:
6 / 16
This fraction can be simplified further. Both 6 and 16 can be divided by 2:
6 ÷ 2 / 16 ÷ 2 = 3/8
So, the ratio of 3rd graders to the entire number of students is 3/8.
To express the ratio of 3rd graders to the entire number of students as a fraction, you need to find the total number of students in the classroom.
First, add the number of 3rd graders and 6th graders together:
6 (3rd-grade students) + 10 (6th-grade students) = 16 (total students)
Next, write the ratio of the number of 3rd graders to the total number of students as a fraction:
Number of 3rd graders / Total number of students
In this case, the number of 3rd graders is 6, and the total number of students is 16, so the ratio can be expressed as:
6/16
This fraction can also be simplified by finding the greatest common divisor (GCD) of the numerator and denominator, which in this case is 2. Divide both the numerator and denominator by 2 to simplify the fraction:
6/2 = 3
16/2 = 8
So, the simplified ratio is 3/8.