What is 21/33 + 8/11?
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This is how we add
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Step 1Our denominators (bottom numbers) don't match, so we can't add yet. 33 goes into 11 evenly, so we only need to multiply one term to get a common denominator. Multiply 8 by 3, and get 24, then we multiply 11 by 3 and get 33. This gives us a new problem that looks like so:
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Step 2Since our denominators match, we can add the numerators. 21 + 24 = 45 That gives us an answer of
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Step 3Can this fraction be reduced? First, we attempt to divide it by 2... Nope. Try the next prime number, 3... Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:
Now, try the same number again. Nope. Try the next prime number, 5... Nope. Try the next prime number, 7... Nope. Try the next prime number, 11... Nope. Try the next prime number, 13... No good. 13 is larger than 11. So we're done reducing. Congratulations! Here's your final answer to 21/33 + 8/11
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