What is 72/63 + 2/3?
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Here's how to add
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Step 1We have to make sure the denominators are equal. Since 3 is evenly divided by 63, we can multiply just one term to get a common denominator. Multiply 2 by 21, and get 42, then we multiply 3 by 21 and get 63. So now our fractions look like this:
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Step 2Since our denominators match, we can add the numerators. 72 + 42 = 114 Now we have an answer.
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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... Are both the numerator and the denominator evenly divisible by 3? 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 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 72/63 + 2/3
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