Here's 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 87 by 11, and get 957, then we multiply 100 by 11 and get 1100. Do the same for the second term. We multiply 10 by 100, and get 1000, then multiply 100 by 11 and get 1100. So now our fractions look like this:
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Step 2Since our denominators match, we can add the numerators. 957 + 1000 = 1957 So the answer is:
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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... 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... Nope. Try the next prime number, 547... Nope. Try the next prime number, 557... Nope. Try the next prime number, 563... Nope. Try the next prime number, 569... Nope. Try the next prime number, 571... Nope. Try the next prime number, 577... Nope. Try the next prime number, 587... Nope. Try the next prime number, 593... Nope. Try the next prime number, 599... Nope. Try the next prime number, 601... Nope. Try the next prime number, 607... Nope. Try the next prime number, 613... Nope. Try the next prime number, 617... Nope. Try the next prime number, 619... Nope. Try the next prime number, 631... Nope. Try the next prime number, 641... Nope. Try the next prime number, 643... Nope. Try the next prime number, 647... Nope. Try the next prime number, 653... Nope. Try the next prime number, 659... Nope. Try the next prime number, 661... Nope. Try the next prime number, 673... Nope. Try the next prime number, 677... Nope. Try the next prime number, 683... Nope. Try the next prime number, 691... Nope. Try the next prime number, 701... Nope. Try the next prime number, 709... Nope. Try the next prime number, 719... Nope. Try the next prime number, 727... Nope. Try the next prime number, 733... Nope. Try the next prime number, 739... Nope. Try the next prime number, 743... Nope. Try the next prime number, 751... Nope. Try the next prime number, 757... Nope. Try the next prime number, 761... Nope. Try the next prime number, 769... Nope. Try the next prime number, 773... Nope. Try the next prime number, 787... Nope. Try the next prime number, 797... Nope. Try the next prime number, 809... Nope. Try the next prime number, 811... Nope. Try the next prime number, 821... Nope. Try the next prime number, 823... Nope. Try the next prime number, 827... Nope. Try the next prime number, 829... Nope. Try the next prime number, 839... Nope. Try the next prime number, 853... Nope. Try the next prime number, 857... Nope. Try the next prime number, 859... Nope. Try the next prime number, 863... Nope. Try the next prime number, 877... Nope. Try the next prime number, 881... Nope. Try the next prime number, 883... Nope. Try the next prime number, 887... Nope. Try the next prime number, 907... Nope. Try the next prime number, 911... Nope. Try the next prime number, 919... Nope. Try the next prime number, 929... Nope. Try the next prime number, 937... Nope. Try the next prime number, 941... Nope. Try the next prime number, 947... Nope. Try the next prime number, 953... Nope. Try the next prime number, 967... Nope. Try the next prime number, 971... Nope. Try the next prime number, 977... Nope. Try the next prime number, 983... Nope. Try the next prime number, 991... Nope. Try the next prime number, 997... Nope. Try the next prime number, 1009... Nope. Try the next prime number, 1013... Nope. Try the next prime number, 1019... Nope. Try the next prime number, 1021... Nope. Try the next prime number, 1031... Nope. Try the next prime number, 1033... Nope. Try the next prime number, 1039... Nope. Try the next prime number, 1049... Nope. Try the next prime number, 1051... Nope. Try the next prime number, 1061... Nope. Try the next prime number, 1063... Nope. Try the next prime number, 1069... Nope. Try the next prime number, 1087... Nope. Try the next prime number, 1091... Nope. Try the next prime number, 1093... Nope. Try the next prime number, 1097... Nope. Try the next prime number, 1103... No good. 1103 is larger than 1100. So we're done reducing. Congratulations! Here's your final answer to 87/100 + 10/11
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