What is 49/9 + 3/5?
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This is how we add
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Step 1Of course, you can't add two fractions if the denominators (bottom numbers) don't match. To get a common denominator, multiply the denominators together. Then we fix the numerators by multiplying each one by their other term's denominator. Now you multiply 49 by 5, and get 245, then we multiply 9 by 5 and get 45. Do the same for the second term. We multiply 3 by 9, and get 27, then multiply 9 by 5 and get 45. The problem now has new fractions to add:
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Step 2Since our denominators match, we can add the numerators. 245 + 27 = 272 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... 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... No good. 47 is larger than 45. So we're done reducing. There you have it! Here's the final answer to 49/9 + 3/5
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