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When Emmett had one cat, he needed to serve 2 3/4 tins of cat food each day. Now that Emmett has adopted a second cat, he needs to serve a total of 3 5/6 tins each day. How much extra food is needed to feed the second cat?Write your answer as a fraction or as a whole or mixed number.

Question

When Emmett had one cat, he needed to serve 2 3/4 tins of cat food each day. Now that Emmett has adopted a second cat, he needs to serve a total of 3 5/6 tins each day. How much extra food is needed to feed the second cat?Write your answer as a fraction or as a whole or mixed number.

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Solution

To find out how much extra food is needed to feed the second cat, we need to subtract the amount of food needed for one cat from the total amount of food needed for two cats.

The amount of food needed for one cat is 2 3/4 tins each day. The total amount of food needed for two cats is 3 5/6 tins each day.

First, convert the mixed numbers to improper fractions to make the subtraction easier.

2 3/4 = 2 + 3/4 = 8/4 + 3/4 = 11/4 3 5/6 = 3 + 5/6 = 18/6 + 5/6 = 23/6

Now, subtract the amount of food needed for one cat from the total amount of food needed for two cats.

23/6 - 11/4 = 46/12 - 33/12 = 13/12

So, the extra food needed to feed the second cat is 13/12 tins each day.

However, since the answer is an improper fraction, we can convert it back to a mixed number for easier understanding.

13/12 = 1 1/12

So, Emmett needs an extra 1 1/12 tins of cat food each day to feed the second cat.

This problem has been solved

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