Let's break down the problem from the image you uploaded:

a) What fraction of the students said science?

The total number of students is the sum of all frequencies: $4 \, (\text{Maths}) + 8 \, (\text{Science}) + 3 \, (\text{English}) = 15$ The number of students who said Science is 8. Therefore, the fraction of students who said Science is: $\frac{8}{15}$ This is already in its simplest form, as 8 and 15 have no common factors.

b) If this information was shown on a pie chart, how many degrees should the central angle of the section that represents Science be?

The total angle of a pie chart is $360^\circ$. The fraction of students who said Science is $\frac{8}{15}$.

To find the central angle, we multiply this fraction by $360^\circ$: $\frac{8}{15} \times 360^\circ = 192^\circ$ Thus, the central angle for Science is $192^\circ$.

Would you like further clarification or have any additional questions?

Here are 5 related questions to deepen your understanding:

1. How would you simplify the fraction if it wasn't already in its simplest form?
2. How would you calculate the angles for Maths and English in the pie chart?
3. If there were more students, how would the fraction and angle change for Science?
4. How do you determine if two numbers have common factors?
5. How would you convert other fractions into central angles for different categories?

Tip: Always double-check if a fraction can be simplified by finding the greatest common divisor (GCD) of the numerator and denominator.