Here's how we add
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Step 1Can you add yet? Nope! The denominators don't match. We need a common denominator. So next we take both denominators and multiply them. Next, take each numerator and multiply it by the denominator of the other term. So, we multiply 87 by 11, and get 957, then we multiply 100 by 11 and get 1100. Now for the second term. You multiply 9 by 100, and get 900, then multiply 100 by 11 and get 1100. We now have a new problem, that looks like this:
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Step 2Since our denominators match, we can add the numerators. 957 + 900 = 1857 That gives us the sum, which is
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Step 3Now, do we need to simplify this fraction? 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... Nope! So now we try the next greatest prime number, 829... Nope! So now we try the next greatest prime number, 839... Nope! So now we try the next greatest prime number, 853... Nope! So now we try the next greatest prime number, 857... Nope! So now we try the next greatest prime number, 859... Nope! So now we try the next greatest prime number, 863... Nope! So now we try the next greatest prime number, 877... Nope! So now we try the next greatest prime number, 881... Nope! So now we try the next greatest prime number, 883... Nope! So now we try the next greatest prime number, 887... Nope! So now we try the next greatest prime number, 907... Nope! So now we try the next greatest prime number, 911... Nope! So now we try the next greatest prime number, 919... Nope! So now we try the next greatest prime number, 929... Nope! So now we try the next greatest prime number, 937... Nope! So now we try the next greatest prime number, 941... Nope! So now we try the next greatest prime number, 947... Nope! So now we try the next greatest prime number, 953... Nope! So now we try the next greatest prime number, 967... Nope! So now we try the next greatest prime number, 971... Nope! So now we try the next greatest prime number, 977... Nope! So now we try the next greatest prime number, 983... Nope! So now we try the next greatest prime number, 991... Nope! So now we try the next greatest prime number, 997... Nope! So now we try the next greatest prime number, 1009... Nope! So now we try the next greatest prime number, 1013... Nope! So now we try the next greatest prime number, 1019... Nope! So now we try the next greatest prime number, 1021... Nope! So now we try the next greatest prime number, 1031... Nope! So now we try the next greatest prime number, 1033... Nope! So now we try the next greatest prime number, 1039... Nope! So now we try the next greatest prime number, 1049... Nope! So now we try the next greatest prime number, 1051... Nope! So now we try the next greatest prime number, 1061... Nope! So now we try the next greatest prime number, 1063... Nope! So now we try the next greatest prime number, 1069... Nope! So now we try the next greatest prime number, 1087... Nope! So now we try the next greatest prime number, 1091... Nope! So now we try the next greatest prime number, 1093... Nope! So now we try the next greatest prime number, 1097... Nope! So now we try the next greatest prime number, 1103... No good. 1103 is larger than 1100. So we're done reducing. There you have it! Here's the final answer to 87/100 + 9/11
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