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Edward drank 8 1/6 glasses of water in the morning and 9 1/3 glasses in the afternoon. How much water did Edward drink in all?Write your answer as a fraction or as a whole or mixed number.

Question

Edward drank 8 1/6 glasses of water in the morning and 9 1/3 glasses in the afternoon. How much water did Edward 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 water Edward drank in all, we need to add the amount he drank in the morning to the amount he drank in the afternoon.

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

Edward drank 8 1/6 glasses of water in the morning. To convert this mixed number to an improper fraction, we multiply the whole number (8) by the denominator of the fraction (6) and then add the numerator of the fraction (1). This gives us 49/6.

Edward drank 9 1/3 glasses of water in the afternoon. To convert this mixed number to an improper fraction, we multiply the whole number (9) by the denominator of the fraction (3) and then add the numerator of the fraction (1). This gives us 28/3.

Now, we add these two fractions together. But first, we need to find a common denominator. The least common denominator of 6 and 3 is 6.

So, we keep 49/6 as it is. But we multiply both the numerator and the denominator of 28/3 by 2 to get 56/6.

Now, we add 49/6 and 56/6 together to get 105/6.

Finally, we convert this improper fraction back to a mixed number. We divide the numerator (105) by the denominator (6) to get 17 with a remainder of 3. So, Edward drank 17 3/6 glasses of water in all. But 3/6 can be simplified to 1/2 by dividing both the numerator and the denominator by 3.

So, Edward drank 17 1/2 glasses of water in all.

This problem has been solved

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