What is 1/15 + 9/10?
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Here's how to 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 1 by 10, and get 10, then we multiply 15 by 10 and get 150. Now for the second term. You multiply 9 by 15, and get 135, then multiply 15 by 10 and get 150. We now have a new problem, that looks like this:
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Step 2Since our denominators match, we can add the numerators. 10 + 135 = 145 Answer:
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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... Are both the numerator and the denominator evenly divisible by 5? Yes! So we reduce it:
So far so good... let's try to divide by that number again. 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 29. So we're done reducing. And we're done! Here's the final answer to 1/15 + 9/10
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