What is 40/41 + 1/12?
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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 40 by 12, and get 480, then we multiply 41 by 12 and get 492. Do the same for the second term. We multiply 1 by 41, and get 41, then multiply 41 by 12 and get 492. The problem now has new fractions to add:
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Step 2Since our denominators match, we can add the numerators. 480 + 41 = 521 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. 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... Nope. Try the next prime number, 83... Nope. Try the next prime number, 89... Nope. Try the next prime number, 97... Nope. Try the next prime number, 101... Nope. Try the next prime number, 103... Nope. Try the next prime number, 107... Nope. Try the next prime number, 109... Nope. Try the next prime number, 113... Nope. Try the next prime number, 127... Nope. Try the next prime number, 131... Nope. Try the next prime number, 137... Nope. Try the next prime number, 139... Nope. Try the next prime number, 149... Nope. Try the next prime number, 151... Nope. Try the next prime number, 157... Nope. Try the next prime number, 163... Nope. Try the next prime number, 167... Nope. Try the next prime number, 173... Nope. Try the next prime number, 179... Nope. Try the next prime number, 181... Nope. Try the next prime number, 191... Nope. Try the next prime number, 193... Nope. Try the next prime number, 197... Nope. Try the next prime number, 199... Nope. Try the next prime number, 211... Nope. Try the next prime number, 223... Nope. Try the next prime number, 227... Nope. Try the next prime number, 229... Nope. Try the next prime number, 233... Nope. Try the next prime number, 239... Nope. Try the next prime number, 241... Nope. Try the next prime number, 251... Nope. Try the next prime number, 257... Nope. Try the next prime number, 263... Nope. Try the next prime number, 269... Nope. Try the next prime number, 271... Nope. Try the next prime number, 277... Nope. Try the next prime number, 281... Nope. Try the next prime number, 283... Nope. Try the next prime number, 293... Nope. Try the next prime number, 307... Nope. Try the next prime number, 311... Nope. Try the next prime number, 313... Nope. Try the next prime number, 317... Nope. Try the next prime number, 331... Nope. Try the next prime number, 337... Nope. Try the next prime number, 347... Nope. Try the next prime number, 349... Nope. Try the next prime number, 353... Nope. Try the next prime number, 359... Nope. Try the next prime number, 367... Nope. Try the next prime number, 373... Nope. Try the next prime number, 379... Nope. Try the next prime number, 383... Nope. Try the next prime number, 389... Nope. Try the next prime number, 397... Nope. Try the next prime number, 401... Nope. Try the next prime number, 409... Nope. Try the next prime number, 419... Nope. Try the next prime number, 421... Nope. Try the next prime number, 431... Nope. Try the next prime number, 433... Nope. Try the next prime number, 439... Nope. Try the next prime number, 443... Nope. Try the next prime number, 449... Nope. Try the next prime number, 457... Nope. Try the next prime number, 461... Nope. Try the next prime number, 463... Nope. Try the next prime number, 467... Nope. Try the next prime number, 479... Nope. Try the next prime number, 487... Nope. Try the next prime number, 491... Nope. Try the next prime number, 499... No good. 499 is larger than 492. So we're done reducing. Congratulations! Here's your final answer to 40/41 + 1/12
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