[latex]frac{frac{2}{3}-frac{1}{2}}{frac{3}{4}-frac{2}{3}}=frac{frac{4}{6}-frac{3}{6}}{frac{9}{12}-frac{8}{12}}=frac{frac{1}{6}}{frac{1}{12}}=frac{frac{1}{6}}{frac{1}{12}}=frac{1}{6}:frac{1}{12}=frac{1}{ ot6_{1}}*frac{ ot12^{2}}{1}=2\ \ \ frac{frac{6}{5}-frac{2}{7}}{frac{2}{5}+frac{2}{3}}=frac{frac{42}{35}-frac{10}{35}}{frac{6}{15}+frac{10}{15}}=frac{frac{32}{35}}{frac{16}{15}}=frac{32}{35}:frac{16}{15}=frac{^{2} ot32}{ ot35_{7}}*frac{ ot15^{3}}{ ot16_{1}}=frac{6}{7}\[/latex] [latex]frac{1frac{1}{2}-2frac{3}{4}}{1frac{5}{6}-2frac{1}{12}}=frac{frac{6}{4}-frac{11}{4}}{frac{22}{12}-frac{25}{12}}=frac{-frac{5}{4}}{-frac{3}{12}}=-frac{5}{4}:(-frac{3}{12})=-frac{5}{4}*(-frac{ ot12^{4}}{ ot3_{1}})=\ \ =-frac{5}{ ot4_{1}}*(-frac{ ot4^{1}}{1})=5[/latex] [latex]frac{1frac{1}{4}+frac{27}{8}}{1frac{5}{16}+frac{3}{8}}=frac{frac{10}{8}+frac{27}{8}}{frac{21}{16}+frac{6}{16}}=frac{frac{37}{8}}{frac{27}{16}}=frac{37}{8}:frac{27}{16}=frac{37}{ ot8_{1}}*frac{ ot16^{2}}{27}=frac{74}{27}=2frac{20}{27}[/latex] [latex]frac{1frac{5}{6}-frac{5}{8}}{fra{4}{13}-frac{25}{39}}=frac{frac{44}{24}-frac{15}{24}}{frac{12}{39}-frac{25}{39}}=frac{frac{29}{24}}{-frac{13}{39}}=frac{29}{24}:(-frac{13}{39})=frac{29}{24}*(-frac{ ot39^{3}}{ ot13_{1}})=frac{29}{ ot24_{8}}*(-frac{ ot3^{1}}{1})=\=-frac{29}{8}=-3frac{5}{8}[/latex]
a) (2/3-1/2) / (3/4-2/3)= (4/6-3/6) / (9/12-8/12)= 1/6 : 1/12= 1/6*12=2 b)(6/5-2/7) /(2/5+2/3)=(42/35-10/35) / (6/15+10/15)= 32/35 : 16/15=32/35*15/16=6/7(po skróceniu) c)(1 1/2-2,75) / (1 5/6-2 1/12)= (1 2/4- 2 3/4) /(1 10/12-2 1/12)= -1 1/4 : -3/12=-5/4* -4=5 d(1,25+27/8) (1 5/16+3/8)=(1 2/8+ 3 3/8) /(1 5/16+6/16)= 4 5/8 : 1 11/16=37/8*16/27=74/27=2 20/27 e)(1 5/6-0,625) /(4/13-25/39)=(1 5/6-5/8) /(12/39 -25/39)=(1 20/24-15/24) / (-13/39)= 1 5/24*( -3)= -3 15/24= -3 5/8
