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Here's 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 11, and get 1067, then we multiply 75 by 11 and get 825. Now for the second term. You multiply 6 by 75, and get 450, then multiply 75 by 11 and get 825. This gives us a new problem that looks like so:
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Step 2Since our denominators match, we can add the numerators. 1067 + 450 = 1517 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! 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... Nope! So now we try the next greatest prime number, 53... Nope! So now we try the next greatest prime number, 59... Nope! So now we try the next greatest prime number, 61... Nope! So now we try the next greatest prime number, 67... Nope! So now we try the next greatest prime number, 71... Nope! So now we try the next greatest prime number, 73... Nope! So now we try the next greatest prime number, 79... Nope! So now we try the next greatest prime number, 83... Nope! So now we try the next greatest prime number, 89... Nope! So now we try the next greatest prime number, 97... Nope! So now we try the next greatest prime number, 101... Nope! So now we try the next greatest prime number, 103... Nope! So now we try the next greatest prime number, 107... Nope! So now we try the next greatest prime number, 109... Nope! So now we try the next greatest prime number, 113... Nope! So now we try the next greatest prime number, 127... Nope! So now we try the next greatest prime number, 131... Nope! So now we try the next greatest prime number, 137... Nope! So now we try the next greatest prime number, 139... Nope! So now we try the next greatest prime number, 149... Nope! So now we try the next greatest prime number, 151... Nope! So now we try the next greatest prime number, 157... Nope! So now we try the next greatest prime number, 163... Nope! So now we try the next greatest prime number, 167... Nope! So now we try the next greatest prime number, 173... Nope! So now we try the next greatest prime number, 179... Nope! So now we try the next greatest prime number, 181... Nope! So now we try the next greatest prime number, 191... Nope! So now we try the next greatest prime number, 193... Nope! So now we try the next greatest prime number, 197... Nope! So now we try the next greatest prime number, 199... Nope! So now we try the next greatest prime number, 211... Nope! So now we try the next greatest prime number, 223... Nope! So now we try the next greatest prime number, 227... Nope! So now we try the next greatest prime number, 229... Nope! So now we try the next greatest prime number, 233... Nope! So now we try the next greatest prime number, 239... Nope! So now we try the next greatest prime number, 241... Nope! So now we try the next greatest prime number, 251... Nope! So now we try the next greatest prime number, 257... Nope! So now we try the next greatest prime number, 263... Nope! So now we try the next greatest prime number, 269... Nope! So now we try the next greatest prime number, 271... Nope! So now we try the next greatest prime number, 277... Nope! So now we try the next greatest prime number, 281... Nope! So now we try the next greatest prime number, 283... Nope! So now we try the next greatest prime number, 293... Nope! So now we try the next greatest prime number, 307... Nope! So now we try the next greatest prime number, 311... Nope! So now we try the next greatest prime number, 313... Nope! So now we try the next greatest prime number, 317... Nope! So now we try the next greatest prime number, 331... Nope! So now we try the next greatest prime number, 337... Nope! So now we try the next greatest prime number, 347... Nope! So now we try the next greatest prime number, 349... Nope! So now we try the next greatest prime number, 353... Nope! So now we try the next greatest prime number, 359... Nope! So now we try the next greatest prime number, 367... Nope! So now we try the next greatest prime number, 373... Nope! So now we try the next greatest prime number, 379... Nope! So now we try the next greatest prime number, 383... Nope! So now we try the next greatest prime number, 389... Nope! So now we try the next greatest prime number, 397... Nope! So now we try the next greatest prime number, 401... Nope! So now we try the next greatest prime number, 409... Nope! So now we try the next greatest prime number, 419... Nope! So now we try the next greatest prime number, 421... Nope! So now we try the next greatest prime number, 431... Nope! So now we try the next greatest prime number, 433... Nope! So now we try the next greatest prime number, 439... Nope! So now we try the next greatest prime number, 443... Nope! So now we try the next greatest prime number, 449... Nope! So now we try the next greatest prime number, 457... Nope! So now we try the next greatest prime number, 461... Nope! So now we try the next greatest prime number, 463... Nope! So now we try the next greatest prime number, 467... Nope! So now we try the next greatest prime number, 479... Nope! So now we try the next greatest prime number, 487... Nope! So now we try the next greatest prime number, 491... Nope! So now we try the next greatest prime number, 499... Nope! So now we try the next greatest prime number, 503... Nope! So now we try the next greatest prime number, 509... Nope! So now we try the next greatest prime number, 521... Nope! So now we try the next greatest prime number, 523... Nope! So now we try the next greatest prime number, 541... Nope! So now we try the next greatest prime number, 547... Nope! So now we try the next greatest prime number, 557... Nope! So now we try the next greatest prime number, 563... Nope! So now we try the next greatest prime number, 569... Nope! So now we try the next greatest prime number, 571... Nope! So now we try the next greatest prime number, 577... Nope! So now we try the next greatest prime number, 587... Nope! So now we try the next greatest prime number, 593... Nope! So now we try the next greatest prime number, 599... Nope! So now we try the next greatest prime number, 601... Nope! So now we try the next greatest prime number, 607... Nope! So now we try the next greatest prime number, 613... Nope! So now we try the next greatest prime number, 617... Nope! So now we try the next greatest prime number, 619... Nope! So now we try the next greatest prime number, 631... Nope! So now we try the next greatest prime number, 641... Nope! So now we try the next greatest prime number, 643... Nope! So now we try the next greatest prime number, 647... Nope! So now we try the next greatest prime number, 653... Nope! So now we try the next greatest prime number, 659... Nope! So now we try the next greatest prime number, 661... Nope! So now we try the next greatest prime number, 673... Nope! So now we try the next greatest prime number, 677... Nope! So now we try the next greatest prime number, 683... Nope! So now we try the next greatest prime number, 691... Nope! So now we try the next greatest prime number, 701... Nope! So now we try the next greatest prime number, 709... Nope! So now we try the next greatest prime number, 719... Nope! So now we try the next greatest prime number, 727... Nope! So now we try the next greatest prime number, 733... Nope! So now we try the next greatest prime number, 739... Nope! So now we try the next greatest prime number, 743... Nope! So now we try the next greatest prime number, 751... Nope! So now we try the next greatest prime number, 757... Nope! So now we try the next greatest prime number, 761... Nope! So now we try the next greatest prime number, 769... Nope! So now we try the next greatest prime number, 773... Nope! So now we try the next greatest prime number, 787... Nope! So now we try the next greatest prime number, 797... Nope! So now we try the next greatest prime number, 809... Nope! So now we try the next greatest prime number, 811... Nope! So now we try the next greatest prime number, 821... Nope! So now we try the next greatest prime number, 823... Nope! So now we try the next greatest prime number, 827... No good. 827 is larger than 825. So we're done reducing. There you have it! Here's the final answer to 97/75 + 6/11
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