Here's how to add
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Step 1Now we need to make our denominators match. Since 3 is evenly divided by 51, we can multiply just one term to get a common denominator. Multiply 2 by 17, and get 34, then we multiply 3 by 17 and get 51. The problem now has new fractions to add:
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Step 2Since our denominators match, we can add the numerators. 70 + 34 = 104 The sum we get is
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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... Nope! So now we try the next greatest prime number, 29... Nope! So now we try the next greatest prime number, 31... Nope! So now we try the next greatest prime number, 37... Nope! So now we try the next greatest prime number, 41... Nope! So now we try the next greatest prime number, 43... Nope! So now we try the next greatest prime number, 47... Nope! So now we try the next greatest prime number, 53... No good. 53 is larger than 51. So we're done reducing. There you have it! Here's the final answer to 70/51 + 2/3
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