What is 10/3 + 7/11?
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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 10 by 11, and get 110, then we multiply 3 by 11 and get 33. Now for the second term. You multiply 7 by 3, and get 21, then multiply 3 by 11 and get 33. We now have a new problem, that looks like this:
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Step 2Since our denominators match, we can add the numerators. 110 + 21 = 131 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... No good. 37 is larger than 33. So we're done reducing. Congratulations! Here's your final answer to 10/3 + 7/11
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