https://file.aiquickdraw.com/mathbot/file/1726763058153lcd7b7bi.jpg

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.

What fraction of the students said Science? How many degrees should the central angle of the section representing Science be in a pie chart?

Learn how to find the fraction of students who chose Science and calculate the central angle for this section in a pie chart. This problem covers fractions and basic geometry, suitable for Grade 6-8 students.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation