What is 12/13 + 3/9?
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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 12 by 9, and get 108, then we multiply 13 by 9 and get 117. Now for the second term. You multiply 3 by 13, and get 39, then multiply 13 by 9 and get 117. This gives us a new problem that looks like so:
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Step 2Since our denominators match, we can add the numerators. 108 + 39 = 147 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... 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... 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... Nope. Try the next prime number, 41... No good. 41 is larger than 39. So we're done reducing. Congratulations! Here's your final answer to 12/13 + 3/9
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