What is 21/33 + 6/11?
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Let's add
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Step 1We have to make sure the denominators are equal. 33 goes into 11 evenly, so we only need to multiply one term to get a common denominator. Multiply 6 by 3, and get 18, then we multiply 11 by 3 and get 33. We now have a new problem, that looks like this:
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Step 2Since our denominators match, we can add the numerators. 21 + 18 = 39 That gives us the sum, which is
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Step 3Now, do we need to simplify this fraction? First, we attempt to divide 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 + 6/11
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