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)

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1 answer

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.