Certainly! Let's work through this step-by-step.
1. Understanding the problem: We are given that the fraction representing boys is [tex]\( \frac{2}{6} \)[/tex].
2. Simplifying the fraction: The fraction [tex]\( \frac{2}{6} \)[/tex] can be simplified by dividing both the numerator (top part) and the denominator (bottom part) by their greatest common divisor, which is 2.
[tex]\[
\frac{2}{6} = \frac{2 \div 2}{6 \div 2} = \frac{1}{3}
\][/tex]
So, the fraction representing boys is [tex]\( \frac{1}{3} \)[/tex].
3. Finding the fraction for the other group: Typically, the other group would be girls. Since the boys represent [tex]\(\frac{1}{3}\)[/tex] of the total, the remaining fraction that would represent the girls is achieved by subtracting the boys' fraction from the whole (which is represented by 1).
[tex]\[
1 - \frac{1}{3} = \frac{3}{3} - \frac{1}{3} = \frac{2}{3}
\][/tex]
Therefore, if [tex]\(\frac{1}{3}\)[/tex] are boys, [tex]\(\frac{2}{3}\)[/tex] are girls.
4. Final Answer:
- The fraction representing boys is [tex]\(\frac{1}{3}\)[/tex].
- The fraction representing the other group (girls) is [tex]\(\frac{2}{3}\)[/tex].
Thus, the calculation is complete, and we have both fractions correctly identified for boys and girls.
