Question

In a survey of 120 people, 1/3 said their favourite sport was rugby, and 1/8 said their favourite sport was volleyball. What is the total fraction of people who said their favourite sport was rugby or volleyball?

Answer 1

Total fraction = 11/24

Explanation:

In order to determine the total fraction of people who said their favorite sport was rugby or volleyball, we can add the fractions of people who said their favorite sport was rugby and volleyball.

Step 1: Find the least common denominator of 1/3 and 1/8:

We can find the least common denominator by multiplying 3 and 8:

3 * 8 = 24.

Step 2: Convert both 1/3 and 1/8 to a fraction whose denominator is 24:

Now we want both 1/3 and 1/8 to have the denominator 24 so that we can add straight across:

1/3 * 6/6 = 6/24

1/8 * 3/3 = 3/24

Step 3: Add 6/24 and 3/24:

6/24 +3/24 = 11/24

Thus, the total fraction of people who said their favorite sport was rugby or volleyball is 11/24.