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In one week, Charlotte's family drank 2 5/6 cartons of regular milk and 4 7/12 cartons of soy milk. How much milk did they drink in all?Write your answer as a fraction or as a whole or mixed number.

Question

In one week, Charlotte's family drank 2 5/6 cartons of regular milk and 4 7/12 cartons of soy milk. How much milk did they drink in all?Write your answer as a fraction or as a whole or mixed number.

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Solution

To find out how much milk Charlotte's family drank in all, we need to add the amount of regular milk they drank to the amount of soy milk they drank.

First, let's convert the mixed fractions to improper fractions.

2 5/6 = (26 + 5)/6 = 17/6 4 7/12 = (412 + 7)/12 = 55/12

Now, let's add these two fractions. But before we do that, we need to find a common denominator. The least common multiple of 6 and 12 is 12. So, we convert 17/6 to a fraction with 12 as the denominator.

17/6 = (17*2)/12 = 34/12

Now, we can add the two fractions:

34/12 + 55/12 = 89/12

This is an improper fraction. Let's convert it back to a mixed number.

89 ÷ 12 = 7 remainder 5

So, 89/12 = 7 5/12

Therefore, Charlotte's family drank 7 5/12 cartons of milk in all.

This problem has been solved

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