What is 21/11 + 2/3?
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This is how you add
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Step 1We still have different denominators (bottom numbers), though, so we need to get a common denominator. This will make the bottom numbers match. Multiply the denominators together first. Now, multiply each numerator by the other term's denominator. Now we multiply 21 by 3, and get 63, then we multiply 11 by 3 and get 33. Now for the second term. You multiply 2 by 11, and get 22, then 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. 63 + 22 = 85 So what's the answer so far?
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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... 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... Nope. Try the next prime number, 17... Nope. Try the next prime number, 19... Nope. Try the next prime number, 23... Nope. Try the next prime number, 29... Nope. Try the next prime number, 31... Nope. Try the next prime number, 37... No good. 37 is larger than 33. So we're done reducing. Congratulations! Here's your final answer to 21/11 + 2/3
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