Odpowiedź:
Zadanie 1
Ułamki [tex]\frac{1}{18} ;~\frac{2}{9} ;~\frac{4}{3} ;~\frac{5}{6} ;~1\frac{1}{2} ;~\frac{2}{3} ;~\frac{1}{6}[/tex] napisz w kolejności malejącej
[tex]1\frac{1}{2} ;~~\frac{4}{3} ;~~\frac{5}{6} ;~~\frac{2}{3};~~\frac{2}{9} ;~~\frac{1}{6} ;~~\frac{1}{18}[/tex]
Zadanie 2
Oblicz, jeśli to możliwe to skróć oraz wyciągnij całość.
[tex]4\frac{1}{3} + 2\frac{2}{5} =4\frac{5}{15} + 2\frac{6}{15} =6\frac{11}{15}[/tex]
[tex]8\frac{1}{9} + 2\frac{2}{3} =8\frac{1}{9} +2\frac{6}{9} =10\frac{7}{9}[/tex]
[tex]4-2\frac{1}{3} =3\frac{3}{3} -2\frac{1}{3} = 1\frac{2}{3}[/tex]
[tex]5\frac{1}{8} -2\frac{2}{3} = 5\frac{3}{24} - 2\frac{16}{24} = 4\frac{27}{24} - 2\frac{16}{24} = 2\frac{11}{24}[/tex]
[tex]6\frac{4}{8} - 2\frac{3}{4} = 6\frac{8}{16} - 2\frac{12}{16} = 5\frac{24}{16} - 2\frac{12}{16} = 3\frac{12}{16} = 3\frac{3}{4}[/tex]
[tex]2 \cdot \frac{3}{4} = \frac{2 \cdot 3}{4} = \frac{6}{4} = 1\frac{1}{2}[/tex]
[tex]1\frac{1}{2} \cdot 4\frac{2}{3} =\frac{3}{2} \cdot \frac{14}{3} =\frac{14}{2} = 7[/tex]
[tex]2\frac{3}{5} : \frac{4}{5} = \frac{13}{5} : \frac{4}{5} = \frac{13}{5} \cdot \frac{5}{4} = \frac{13}{4} = 3\frac{1}{4}[/tex]
[tex]1\frac{1}{2} : 2\frac{2}{3} =\frac{3}{2} : \frac{8}{3} = \frac{3}{2} \cdot \frac{3}{8} =\frac{9}{16}[/tex]