The table shows the favorite subjects of students in a class. Science: 2 students Maths: 7 students English: 6 students a) What fraction of the students said maths? Give your answer in its simplest form. b) If this information was shown on a pie chart, how many degrees should the central angle of the section that represents maths be?

1. Problem Description

The table shows the favorite subjects of students in a class.

Science: 2 students

Maths: 7 students

English: 6 students

a) What fraction of the students said maths? Give your answer in its simplest form.

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

2. Solution Steps

a)

First, find the total number of students.

Total students = Students who like Science + Students who like Maths + Students who like English

Total students = $2 + 7 + 6 = 15$

Next, find the fraction of students who said Maths.

Fraction = $\frac{\text{Number of students who like Maths}}{\text{Total number of students}}$

Fraction = $\frac{7}{15}$

Since 7 and 15 have no common factors other than 1, the fraction is already in its simplest form.

b)

A pie chart has 360 degrees.

The fraction of students who like Maths is $\frac{7}{15}$.

The number of degrees for the Maths section is the fraction of students who like Maths multiplied by 360 degrees.

Degrees = $\frac{7}{15} \times 360$

Degrees = $7 \times \frac{360}{15}$

Degrees = $7 \times 24$

Degrees = $168$

3. Final Answer

a) $\frac{7}{15}$

b) 168 degrees