Here's how you add
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Step 1Our denominators (bottom numbers) don't match, so we can't add yet. 72 goes into 12 evenly, so we only need to multiply one term to get a common denominator. Multiply 3 by 6, and get 18, then we multiply 12 by 6 and get 72. We now have a new problem, that looks like this:
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Step 2Since our denominators match, we can add the numerators. 100 + 18 = 118 Answer:
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Step 3Now, do we need to simplify this fraction? First, we attempt to divide it by 2... Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
Now, try the same number again. 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 36. So we're done reducing. Congratulations! Here's your final answer to 100/72 + 3/12
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