Oblicz działania. W wyniku podaj w ułamkek nieskracalny. a) ( 1 [latex] frac{3}{5} [/latex] ÷ [latex] frac{3}{5} [/latex] ) ÷ 1 [latex] frac{1}{3} [/latex] b) [latex] frac{3}{4} [/latex] · ( [latex] frac{2}{5} [/latex] ÷ 1 [latex] frac{3}{5} [/latex]

dwukropek ":" będzie oznaczał znak dzielenia a gwiazdka mnożenie "*" a) [latex](1 frac{3}{5}: frac{3}{5}) : 1 frac{1}{3} =( frac{8}{5} * frac{5}{3}): frac{4}{3} = frac{8}{3} * frac{3}{4} =2[/latex] b)[latex] frac{3}{4} *( frac{2}{5} : 1 frac{3}{5})= frac{3}{4} *( frac{2}{5}: frac{8}{5})= frac{3}{4}*( frac{2}{5}* frac{5}{8})= frac{3}{4}* frac{1}{4}= frac{3}{16} [/latex] c)

a). (1 i 3/5 : 3/5) : 1 i 1/3 = (8/5 · 5/3) : 4/3 = 8/3 · 3/4 = 2 b).3/4 · (2/5 : 1 i 3/5) = 3/4 · (2/5 : 8/5) = 3/4 · (2/5 · 5/8) = 3/4 · 1/4 = 3/16 c).3 i 1/5 : (2 i 1/2 - 1 i 3/4) = 16/5 : (2 i 2/4 - 1 i 3/4) = 16/5 : (1 i 6/4 - 1 i 3/4) = = 16/5 : 3/4 = 16/5 · 4/3 = 64/15 = 4 i 4/15