What is 10/3 + 9/10?
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Here's how we add
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Step 1We can't add two fractions with different denominators (the bottom number). So you need to get a common denominator - both bottom numbers need to match. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator. So we multiply 10 by 10, and get 100, then we multiply 3 by 10 and get 30. Do the same for the second term. We multiply 9 by 3, and get 27, then multiply 3 by 10 and get 30. So now our fractions look like this:
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Step 2Since our denominators match, we can add the numerators. 100 + 27 = 127 So the answer is:
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Step 3Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction? To find out, we try dividing 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. So next you try the next prime number, which is 29... No good. So next you try the next prime number, which is 31... No good. 31 is larger than 30. So we're done reducing. And we're done! Here's the final answer to 10/3 + 9/10
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