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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.

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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.

This problem has been solved

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