Răspuns:
[tex]E = \frac{176}{15}[/tex]
[tex]F = \frac{1}{10}[/tex]
[tex]G = \frac{47}{42}[/tex]
[tex]H = \frac{17}{45}[/tex]
[tex]I = 1[/tex]
[tex]J = 0,5(3)[/tex]
Explicație pas cu pas:
[tex]E = 12 - \frac{4}{15} = \frac{12*15 - 4}{15} = \frac{180-4}{15} = \frac{176}{15}[/tex]
Proba: [tex]\frac{176}{15} + \frac{4}{15} = \frac{180}{15} = 12[/tex]
[tex]F = \frac{1}{4} - \frac{3}{20} = \frac{5}{20} - \frac{3}{20} = \frac{2}{20} = \frac{1}{10}[/tex]
Proba: [tex]\frac{1}{10} + \frac{3}{20} = \frac{2}{20} + \frac{3}{20} = \frac{5}{20} = \frac{1}{4}[/tex]
[tex]G = \frac{5}{6} + \frac{2}{7} = \frac{5*7}{42} + \frac{2*6}{42} = \frac{35+12}{42} = \frac{47}{42}[/tex]
Proba: [tex]\frac{47}{42} - \frac{2}{7} = \frac{47-12}{42} = \frac{35}{42} = \frac{5}{6}[/tex]
[tex]H = -\frac{3}{5} + \frac{2}{9} = \frac{-3*9+2*5}{45} = \frac{-17}{45}[/tex]
Proba: [tex]-\frac{17}{45} + \frac{3}{5} = \frac{-17+3*9}{45} = \frac{-17+27}{45} = \frac{10}{45} = \frac{2}{9}[/tex]
[tex]I = 1,(12) - \frac{4}{33} = \frac{112-1}{99} - \frac{4}{33} = \frac{111}{99} - \frac{4}{33} = \frac{37}{33} - \frac{4}{33} = \frac{33}{33} = 1[/tex]
Proba: [tex]1 + \frac{4}{33} = \frac{33+4}{33} = \frac{37}{33} = 1,(12)[/tex]
[tex]J = 0,4 + 0,1(3) = \frac{4}{10} + \frac{13-1}{90} = \frac{2}{5} + \frac{12}{90} = \frac{2}{5} + \frac{6}{45} = \frac{2*9+6}{45} = \frac{24}{45} = 0,5(3)[/tex]
Proba: [tex]0,5(3) - 0,1(3) = \frac{24}{45} - \frac{6}{45} = \frac{18}{45} = 0,4[/tex]
