add or subtract fraactionsto solve problems practice
joshua surveys his friends to find out which recreational sport is most liked. he asked each of his friends if they preferbasketball,soccer,baseball or volleyball. he finds 1/5 of his friends like volleyball and 2/5 prefer soccer. how many of joshuas'sfriends prefer volleyball and soccer over the other two sports?
To find out how many of Joshua's friends prefer volleyball and soccer over the other two sports, we need to add the fractions representing the preferences for volleyball and soccer.
1/5 + 2/5 = 3/5
So, 3/5 of Joshua's friends prefer volleyball and soccer.
To find out how many of Joshua's friends prefer volleyball and soccer over the other two sports, we need to add the fractions 1/5 and 2/5.
1/5 + 2/5
To add these fractions, we need to have a common denominator. The least common multiple of 5 and 5 is 5.
1/5 = 1/5 * 1/1 = 1/5
2/5 = 2/5 * 1/1 = 2/5
Now, with a common denominator, we can add the fractions:
1/5 + 2/5 = (1 + 2)/5 = 3/5
Therefore, 3/5 of Joshua's friends prefer volleyball and soccer over the other two sports.
To solve this problem, we need to add or subtract the fractions to find the total number of friends who prefer volleyball and soccer.
Step 1: Determine the fraction of friends who prefer volleyball.
According to the information provided, 1/5 of Joshua's friends like volleyball.
Step 2: Determine the fraction of friends who prefer soccer.
According to the information provided, 2/5 of Joshua's friends prefer soccer.
Step 3: Add the fractions to find the total fraction of friends who prefer volleyball or soccer.
To add fractions, we need to have a common denominator. In this case, the denominators are already the same (5). So, we can simply add the numerators to get the total fraction:
1/5 + 2/5 = 3/5
Step 4: Find the total number of friends who prefer volleyball or soccer.
Since the total fraction is 3/5 and we don't have the total number of friends given, we cannot determine the exact number. However, we know that the fraction represents 3 out of every 5 friends, so we can use any number for the total number of friends to find the answer.
For example, if Joshua has 10 friends in total, then 3/5 of them would prefer volleyball or soccer:
(3/5) * 10 = 6
Therefore, if Joshua has 10 friends, 6 of them would prefer volleyball or soccer over the other two sports.