Year 4 Fraction
1. The problem asks for the fraction of students in Year 4 compared to the total number of students in the school.
2. First, find the total number of students by adding all the students from each year:
$$36 + 20 + 29 + 30 + 24 + 31 = 170$$
3. The number of students in Year 4 is 30.
4. The fraction of students in Year 4 is therefore:
$$\frac{30}{170}$$
5. Simplify the fraction by dividing numerator and denominator by their greatest common divisor, which is 10:
$$\frac{30 \div 10}{170 \div 10} = \frac{3}{17}$$
6. So, the fraction of students in Year 4 in simplest form is $\frac{3}{17}$.