What is 10/3 + 3/7?
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This is how you 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 7, and get 70, then we multiply 3 by 7 and get 21. Now for the second term. You multiply 3 by 3, and get 9, then multiply 3 by 7 and get 21. We now have a new problem, that looks like this:
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Step 2Since our denominators match, we can add the numerators. 70 + 9 = 79 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... No good. So next you try the next prime number, which is 3... No good. So next you try the next prime number, which is 5... No good. So next you try the next prime number, which is 7... No good. So next you try the next prime number, which is 11... No good. So next you try the next prime number, which is 13... No good. So next you try the next prime number, which is 17... No good. So next you try the next prime number, which is 19... No good. So next you try the next prime number, which is 23... No good. 23 is larger than 21. So we're done reducing. And we're done! Here's the final answer to 10/3 + 3/7
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