What is 40/41 + 7/12?
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This is how you add
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Step 1We can't add two fractions with different denominators (the bottom number). So you need to get a common denominator - both bottom numbers need to match. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator. So we 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 7 by 41, and get 287, then multiply 41 by 12 and get 492. So now our fractions look like this:
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Step 2Since our denominators match, we can add the numerators. 480 + 287 = 767 Now we have an answer.
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Step 3Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction? 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 + 7/12
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