An athlete drank 9 1/2 bottles of sports drink in the first half of a match and another 5 1/3 bottles in the second half. How much did he drink in all?Write your answer as a fraction or as a whole or mixed number.
Question
An athlete drank 9 1/2 bottles of sports drink in the first half of a match and another 5 1/3 bottles in the second half. How much did he drink in all?Write your answer as a fraction or as a whole or mixed number.
Solution
To solve this problem, we need to add the two amounts of sports drink the athlete drank.
First, let's convert the mixed numbers to improper fractions:
9 1/2 = 18/2 + 1/2 = 19/2 5 1/3 = 15/3 + 1/3 = 16/3
Now, let's add these two fractions. But first, we need to find a common denominator. The least common multiple of 2 and 3 is 6. So, we convert the fractions to have this common denominator:
19/2 = 57/6 16/3 = 32/6
Now we can add them:
57/6 + 32/6 = 89/6
This is an improper fraction and can be converted back to a mixed number:
89 ÷ 6 = 14 remainder 5
So, 89/6 = 14 5/6
Therefore, the athlete drank 14 5/6 bottles of sports drink in total.
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