a = 1,(2) = 1 i 2/9 = 11/9 a = 0,2222... 10a =2,222... 10 a - a = 2 9a = 2 ----> a = 2:9 = 2/9 1 + 2/9 = 1 i 2/9 = 11/9 --------------------------------- a = 0,(27) = 27/99 rozwiązanie: a = 0,272727... 100a = 27,2727... 100a - a = 27 99a = 27 -----> a = 27 : 99 = 27/99 --------------------------------------------- a = 0,(14) = 14/99 rozwiązanie jak wyżej --------------------------------------------------- NWD(18,56) = 2 Rozwiązanie 18 = 2*3*3 56 = 2*2*2*7 Wspólny czynnik pierwszy, to 2 ----------------------------------------- NWW(18,56) = 2*3*3*2*2*7 = 8*9*7 = 504 504 = 28*18 oraz 504 = 9* 56 ------------------------------------------------- NWW(121;324) = 121*324 = 39 204, bo 121 = 11*11 324 = 2*2*3*3*3*3 ----------------------------- NWW (58; 97) = 58*97 =5 626 bo 58 = 2*29 97 = 97
