What is 20/17 + 3/9?
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Here's how to 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 20 by 9, and get 180, then we multiply 17 by 9 and get 153. Now for the second term. You multiply 3 by 17, and get 51, then multiply 17 by 9 and get 153. This gives us a new problem that looks like so:
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Step 2Since our denominators match, we can add the numerators. 180 + 51 = 231 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... 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... Nope. Try the next prime number, 43... Nope. Try the next prime number, 47... Nope. Try the next prime number, 53... No good. 53 is larger than 51. So we're done reducing. Congratulations! Here's your final answer to 20/17 + 3/9
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