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This is how we add
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Step 1Our denominators (bottom numbers) don't match, so we can't add yet. Since 5 is evenly divided by 75, we can multiply just one term to get a common denominator. Multiply 1 by 15, and get 15, then we multiply 5 by 15 and get 75. The problem now has new fractions to add:
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Step 2Since our denominators match, we can add the numerators. 97 + 15 = 112 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. Try the next prime number, 3... Nope. Try the next prime number, 5... Nope. Try the next prime number, 7... Nope. Try the next prime number, 11... Nope. Try the next prime number, 13... Nope. Try the next prime number, 17... Nope. Try the next prime number, 19... Nope. Try the next prime number, 23... Nope. Try the next prime number, 29... Nope. Try the next prime number, 31... Nope. Try the next prime number, 37... Nope. Try the next prime number, 41... Nope. Try the next prime number, 43... Nope. Try the next prime number, 47... Nope. Try the next prime number, 53... Nope. Try the next prime number, 59... Nope. Try the next prime number, 61... Nope. Try the next prime number, 67... Nope. Try the next prime number, 71... Nope. Try the next prime number, 73... Nope. Try the next prime number, 79... No good. 79 is larger than 75. So we're done reducing. Congratulations! Here's your final answer to 97/75 + 1/5
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