What is 6/19 + 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 6 by 9, and get 54, then we multiply 19 by 9 and get 171. Now for the second term. You multiply 3 by 19, and get 57, then multiply 19 by 9 and get 171. This gives us a new problem that looks like so:
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Step 2Since our denominators match, we can add the numerators. 54 + 57 = 111 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 37. So we're done reducing. Congratulations! Here's your final answer to 6/19 + 3/9
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