An athlete drank 3/5 of a bottle of sports drink in the first half of a match and another 1/2 of a bottle 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 3/5 of a bottle of sports drink in the first half of a match and another 1/2 of a bottle 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
The athlete drank 3/5 of a bottle in the first half and 1/2 of a bottle in the second half.
To find out how much he drank in total, you need to add these two fractions together.
First, you need to find a common denominator for the fractions. The least common denominator for 5 and 2 is 10.
So, convert 3/5 and 1/2 to fractions that have 10 as the denominator.
3/5 is equivalent to 6/10 (because 3 * 2 = 6 and 5 * 2 = 10) and 1/2 is equivalent to 5/10 (because 1 * 5 = 5 and 2 * 5 = 10).
Now, add these two fractions together:
6/10 + 5/10 = 11/10
So, the athlete drank 11/10 of a bottle in total.
Since the numerator is greater than the denominator, this is an improper fraction.
To convert it to a mixed number, divide the numerator by the denominator:
11 ÷ 10 = 1 remainder 1
So, 11/10 is equivalent to 1 1/10.
Therefore, the athlete drank 1 1/10 bottles of sports drink in total.
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