Jett scores 3 1/3 points in the first round of a game and 3 2/5 points in the second round. How many total points does he score for both rounds?(1 point)
Responses
To find the total points Jett scores for both rounds, we need to add the points from each round.
In the first round, Jett scores 3 1/3 points.
In the second round, he scores 3 2/5 points.
To add these fractions, we need to find a common denominator. The smallest common denominator for 3 and 5 is 15.
Converting 3 1/3 to a fraction with a denominator of 15:
3 1/3 = (3 * 3 + 1) / 3 = 10/3
Converting 3 2/5 to a fraction with a denominator of 15:
3 2/5 = (3 * 5 + 2) / 5 = 17/5
Now, we can add the fractions:
10/3 + 17/5
To add fractions, we need a common denominator. The least common multiple of 3 and 5 is 15.
Converting 10/3 to a fraction with a denominator of 15:
10/3 = (10 * 5) / (3 * 5) = 50/15
Now, we can add the fractions:
50/15 + 17/5
To add fractions with the same denominator, we add their numerators and keep the same denominator:
50/15 + 17/5 = (50 + 17) / 15 = 67/15
Therefore, Jett scores a total of 67/15 points for both rounds.