What is 21/33 + 9/11?
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Here's how we add
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Step 1We have to make sure the denominators are equal. Since 11 is evenly divided by 33, we can multiply just one term to get a common denominator. Multiply 9 by 3, and get 27, then we multiply 11 by 3 and get 33. The problem now has new fractions to add:
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Step 2Since our denominators match, we can add the numerators. 21 + 27 = 48 This yields the answer
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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... Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:
So far so good... let's try to divide by that number again. 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. 13 is larger than 11. So we're done reducing. And we're done! Here's the final answer to 21/33 + 9/11
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