Răspuns:
Explicație pas cu pas:
[tex]Numaratorul:\\1) (2\frac{1}{2}-1 ):6=(\frac{5}{2}-\frac{2}{2}):6=\frac{3}{2} :6= \frac{3}{2} :\frac{6}{1}= \frac{3}{2}*\frac{1}{6}=\frac{3*1}{2*6}=\frac{1}{4}\\ 2) (3\frac{3}{4}-1):11=(\frac{15}{4} -\frac{4}{4} ):11=\frac{11}{4}:\frac{11}{1}=\frac{11}{4}*\frac{1}{11} =\frac{11*1}{4*11} =\frac{1}{4}.\\ 3) (2\frac{7}{9}-1):7\frac{1}{9}=(\frac{25}{9}-\frac{9}{9} ):\frac{64}{9}= \frac{16}{9}*\frac{9}{64}=\frac{16*9}{9*64}=\frac{1}{4}.\\ 4) \frac{1}{4}+\frac{1}{4}+\frac{1}{4}=\frac{3}{4}.\\[/tex]
Numitorul:
[tex]1) \frac{1}{2\frac{2}{3} }=1:{2\frac{2}{3} }=1:\frac{8}{3}=1*\frac{3}{8}= \frac{3}{8}.\\2) \frac{1}{1\frac{1}{7} }=1:{1\frac{1}{7} }=1:\frac{8}{7}=1*\frac{7}{8}= \frac{7}{8}.\\\\3) \frac{1}{\frac{8}{9} }=1:{\frac{8}{9} }=1*\frac{9}{8}= \frac{9}{8}.\\\\4) \frac{3}{8}+\frac{7}{8}-\frac{9}{8}=\frac{1}{8}\\[/tex]
Acum facem ultima operaţie Numărător:Numitor
[tex]\frac{3}{4}:\frac{1}{8}=\frac{3}{4}*\frac{8}{1}=\frac{3*8}{4*1} =6[/tex]
