What is 57/7 + 9/12?
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Let's 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 57 by 12, and get 684, then we multiply 7 by 12 and get 84. Now for the second term. You multiply 9 by 7, and get 63, then multiply 7 by 12 and get 84. This gives us a new problem that looks like so:
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Step 2Since our denominators match, we can add the numerators. 684 + 63 = 747 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... No good. 29 is larger than 28. So we're done reducing. Congratulations! Here's your final answer to 57/7 + 9/12
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