What is 97/75 + 2/7?
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This is how to add
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Step 1We still have different denominators (bottom numbers), though, so we need to get a common denominator. This will make the bottom numbers match. Multiply the denominators together first. Now, multiply each numerator by the other term's denominator. Now we multiply 97 by 7, and get 679, then we multiply 75 by 7 and get 525. Now for the second term. You multiply 2 by 75, and get 150, then multiply 75 by 7 and get 525. This gives us a new problem that looks like so:
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Step 2Since our denominators match, we can add the numerators. 679 + 150 = 829 So what's the answer so far?
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Step 3Can this fraction be reduced? First, we attempt to divide 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... Nope. Try the next prime number, 503... Nope. Try the next prime number, 509... Nope. Try the next prime number, 521... Nope. Try the next prime number, 523... Nope. Try the next prime number, 541... No good. 541 is larger than 525. So we're done reducing. Congratulations! Here's your final answer to 97/75 + 2/7
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