This is how to add
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Step 1We have to make sure the denominators are equal. Since 3 is evenly divided by 48, we can multiply just one term to get a common denominator. Multiply 2 by 16, and get 32, then we multiply 3 by 16 and get 48. The problem now has new fractions to add:
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Step 2Since our denominators match, we can add the numerators. 9 + 32 = 41 The sum we get is
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Step 3The last step is to reduce the fraction if we can. To find out, we try dividing it by 2... No good. So next you try the next prime number, which is 3... No good. So next you try the next prime number, which is 5... No good. So next you try the next prime number, which is 7... No good. So next you try the next prime number, which is 11... No good. So next you try the next prime number, which is 13... No good. So next you try the next prime number, which is 17... No good. So next you try the next prime number, which is 19... No good. So next you try the next prime number, which is 23... No good. So next you try the next prime number, which is 29... No good. So next you try the next prime number, which is 31... No good. So next you try the next prime number, which is 37... No good. So next you try the next prime number, which is 41... No good. So next you try the next prime number, which is 43... No good. 43 is larger than 41. So we're done reducing. And we're done! Here's the final answer to 9/48 + 2/3
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