What is 8/9 + 3/11?
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This is how we add
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Step 1Can you add yet? Nope! The denominators don't match. We need a common denominator. So next we take both denominators and multiply them. Next, take each numerator and multiply it by the denominator of the other term. So, we multiply 8 by 11, and get 88, then we multiply 9 by 11 and get 99. Now for the second term. You multiply 3 by 9, and get 27, then multiply 9 by 11 and get 99. We now have a new problem, that looks like this:
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Step 2Since our denominators match, we can add the numerators. 88 + 27 = 115 That gives us the sum, which is
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Step 3Now, do we need to simplify this fraction? First, we attempt to divide it by 2... 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... 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... Nope. Try the next prime number, 59... Nope. Try the next prime number, 61... Nope. Try the next prime number, 67... Nope. Try the next prime number, 71... Nope. Try the next prime number, 73... Nope. Try the next prime number, 79... Nope. Try the next prime number, 83... Nope. Try the next prime number, 89... Nope. Try the next prime number, 97... Nope. Try the next prime number, 101... No good. 101 is larger than 99. So we're done reducing. Congratulations! Here's your final answer to 8/9 + 3/11
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