Here's how to add
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Step 1Now we need to make our denominators match. Since 10 is evenly divided by 20, we can multiply just one term to get a common denominator. Multiply 9 by 2, and get 18, then we multiply 10 by 2 and get 20. The problem now has new fractions to add:
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Step 2Since our denominators match, we can add the numerators. 3 + 18 = 21 This yields the answer
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Step 3The last step is to reduce the fraction if we can. To find out, we try dividing it by 2... Nope! So now we try the next greatest prime number, 3... Nope! So now we try the next greatest prime number, 5... Nope! So now we try the next greatest prime number, 7... Nope! So now we try the next greatest prime number, 11... Nope! So now we try the next greatest prime number, 13... Nope! So now we try the next greatest prime number, 17... Nope! So now we try the next greatest prime number, 19... Nope! So now we try the next greatest prime number, 23... No good. 23 is larger than 21. So we're done reducing. There you have it! Here's the final answer to 3/20 + 9/10
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