To express the ratio of 3rd graders to the entire number of students as a fraction, you first need to determine the total number of students in the classroom.
There are 6 3rd graders and 10 6th graders, so the total number of students is:
\[ 6 + 10 = 16 \]
Now, the fraction representing the ratio of 3rd graders to the entire number of students is:
\[ \frac{\text{Number of 3rd graders}}{\text{Total number of students}} = \frac{6}{16} \]
This fraction can be simplified. Both the numerator and the denominator can be divided by 2:
\[ \frac{6 \div 2}{16 \div 2} = \frac{3}{8} \]
Thus, the ratio of 3rd graders to the entire number of students as a simplified fraction is:
\[ \frac{3}{8} \]
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