a) [latex](frac{2}{3}+frac{1}{4}):1frac{5}{6}+frac{1}{2}=frac{11}{12}*frac{6}{11}+frac{1}{2}=frac{1}{2}+frac{1}{2}=1[/latex] b) [latex][(5frac{1}{2}-3frac{1}{4}):2frac{1}{4}+7frac{5}{8}]:2frac{7}{8}=[(frac{22}{4}-frac{13}{4})*frac{4}{9}+7frac{5}{8}]*frac{8}{23}=(frac{9}{4}*frac{4}{9}[/latex][latex]+7frac{5}{8})*frac{8}{23}=frac{69}{8}*frac{8}{23}=frac{3}{1}=3[/latex] c) [latex]frac{frac{1}{2}-frac{2}{3}:(1frac{2}{3}-2frac{1}{5})}{frac{2}{3}-1frac{1}{2}-frac{3}{4}}=[/latex][latex]=frac{frac{1}{2}-frac{2}{3}:(frac{25}{15}-frac{33}{15})}{frac{8}{12}-frac{18}{12}-frac{9}{12}}=frac{frac{1}{2}-frac{2}{3}*(-frac{15}{8})}{-frac{19}{12}}=[/latex][latex]=frac{frac{2}{4}+frac{5}{4}}{-frac{19}{12}}=frac{7}{4}*(-frac{12}{19})= SPIEPRZONE[/latex] Zobacz, czy dobrze zapisałeś. Jak tak, to albo błąd druku (albo nauczyciela), albo my czegoś nie wiemy.
(2/3 + 1/4) : 1 5/6 + 1/2 = (8/12 + 3/12): 1 10/12 + 1/2= 11/12 : 22/12 + 1/2 =11/12x12/22 +1/2 = 1/2 + 1/2 = 1 [(5 1/2 - 3 1/4) : 2 1/4 + 7 5/8] : 2 7/8 = [(5 2/4 - 3 1/4) : 2 2/8 + 7 5/8] : 2 7/8= [9/8 : 18/8 + 7 5/8] : 23/8= [9/8 x 8/18 + 7 5/8] : 23/8 = [4/8 + 7 5/8] : 23/8 = 8 1/8 x 8/23 = 69/8 x 8/23 = 3 trzecie mi nie wychodzi
