Odpowiedź:
Szczegółowe wyjaśnienie:
a.
[tex]\frac{3}{4} +\frac{1}{4} *5=\frac{3}{4} +\frac{5}{4} =\frac{8}{4} =2[/tex]
b.
[tex]1\frac{5}{6} -\frac{1}{6} *1\frac{1}{2} =\frac{11}{6} -\frac{1}{6} *\frac{3}{2} =\frac{11}{6} -\frac{3}{12} =\frac{22}{12} -\frac{3}{12} =\frac{19}{12}=1\frac{7}{12}[/tex]
c.
[tex](1\frac{3}{8} +2\frac{5}{6} )*12=(\frac{11}{8} +\frac{17}{6} )*12=(\frac{33}{24} +\frac{68}{24} )*12=\frac{101}{24} *12=\frac{101}{2} =50\frac{1}{2}[/tex]
d.
[tex]1\frac{1}{3} *(3+2*\frac{3}{4} )=\frac{4}{3} *(3+\frac{3}{2} )=\frac{4}{3} *3\frac{3}{2} =\frac{4}{3} *\frac{9}{2} =2*3=6[/tex]
e.
[tex]6\frac{1}{6} :\frac{1}{6} -2\frac{1}{4} :2=\frac{37}{6} *6-\frac{9}{4} *\frac{1}{2} =37-\frac{9}{8} =37-1\frac{1}{8}=35\frac{7}{8}[/tex]
f.
[tex](4\frac{1}{6} -3\frac{5}{7} ):19=(\frac{25}{6} -\frac{26}{7} )*\frac{1}{19} =(\frac{175}{42} -\frac{156}{42} )*\frac{1}{19} =\frac{19}{42} *\frac{1}{19} =\frac{1}{42}[/tex]
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Odpowiedź:
Szczegółowe wyjaśnienie:
a.
[tex]\frac{3}{4} +\frac{1}{4} *5=\frac{3}{4} +\frac{5}{4} =\frac{8}{4} =2[/tex]
b.
[tex]1\frac{5}{6} -\frac{1}{6} *1\frac{1}{2} =\frac{11}{6} -\frac{1}{6} *\frac{3}{2} =\frac{11}{6} -\frac{3}{12} =\frac{22}{12} -\frac{3}{12} =\frac{19}{12}=1\frac{7}{12}[/tex]
c.
[tex](1\frac{3}{8} +2\frac{5}{6} )*12=(\frac{11}{8} +\frac{17}{6} )*12=(\frac{33}{24} +\frac{68}{24} )*12=\frac{101}{24} *12=\frac{101}{2} =50\frac{1}{2}[/tex]
d.
[tex]1\frac{1}{3} *(3+2*\frac{3}{4} )=\frac{4}{3} *(3+\frac{3}{2} )=\frac{4}{3} *3\frac{3}{2} =\frac{4}{3} *\frac{9}{2} =2*3=6[/tex]
e.
[tex]6\frac{1}{6} :\frac{1}{6} -2\frac{1}{4} :2=\frac{37}{6} *6-\frac{9}{4} *\frac{1}{2} =37-\frac{9}{8} =37-1\frac{1}{8}=35\frac{7}{8}[/tex]
f.
[tex](4\frac{1}{6} -3\frac{5}{7} ):19=(\frac{25}{6} -\frac{26}{7} )*\frac{1}{19} =(\frac{175}{42} -\frac{156}{42} )*\frac{1}{19} =\frac{19}{42} *\frac{1}{19} =\frac{1}{42}[/tex]