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Va rog ajutatima sa calculez :
6  2\7 - 4  1\7 =?
8  4\5 - 3   1\5=?
12  1\9 - 5   4\9=?
18   2\11 - 7   5\11=?


Răspuns :

[tex]6 \frac{2}{7} - 4 \frac{1}{7} =[/tex]

[tex]= \frac{6*7+2}{7} - \frac{4*7+1}{7} =[/tex]

[tex]= \frac{44}{7} - \frac{29}{7} =[/tex]

[tex]= \frac{15}{7} =[/tex]

[tex]= 2 \frac{1}{7} [/tex]

sau:

[tex]6 \frac{2}{7} - 4 \frac{1}{7} =[/tex]

[tex]=6 + \frac{2}{7} - (4 + \frac{1}{7} )=[/tex]

[tex]=6 + \frac{2}{7} - 4 - \frac{1}{7} =[/tex]

[tex]=2+ \frac{1}{7} =[/tex][tex] 2 \frac{1}{7} [/tex]


[tex]8 \frac{4}{5} - 3 \frac{1}{5} =[/tex]

[tex]= \frac{44}{5} - \frac{16}{5} =[/tex]

[tex]= \frac{28}{5} =[/tex]

[tex]=5 \frac{3}{5} [/tex]

sau:

[tex]8 \frac{4}{5} - 3 \frac{1}{5} =[/tex]

[tex]=8+ \frac{4}{5} - (3+ \frac{1}{5} )=[/tex]

[tex]=8+ \frac{4}{5} - 3- \frac{1}{5} =[/tex]

[tex]=5+ \frac{3}{5} =[/tex][tex]5 \frac{3}{5} [/tex]


[tex]12 \frac{1}{9} - 5 \frac{4}{9} =[/tex]

[tex]= \frac{109}{9} - \frac{49}{9} =[/tex]

[tex]= \frac{60}{9} =[/tex]

[tex]= 6 \frac{6}{9} = 6 \frac{2}{3} [/tex]

sau:


[tex]12 \frac{1}{9} - 5 \frac{4}{9} =[/tex]

[tex]=12+ \frac{1}{9} - (5+ \frac{4}{9} )=[/tex]

[tex]=12+ \frac{1}{9} - 5- \frac{4}{9} =[/tex]

[tex]=11+(1+ \frac{1}{9} ) - 5- \frac{4}{9} =[/tex]

[tex]=6+ \frac{10}{9} - \frac{4}{9} =[/tex]

[tex]= 6+ \frac{6}{9} = 6 \frac{6}{9} = 6 \frac{2}{3} [/tex]


[tex]18 \frac{2}{11} - 7 \frac{5}{11} =[/tex]

[tex]= \frac{200}{11} - \frac{82}{11} =[/tex]

[tex]= \frac{118}{11} =[/tex]

[tex]= 10 \frac{8}{11} [/tex]