Question

6. Calculează și verifică rezultatul, aplicând proba operației:





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Answer 1

Răspuns:

$E = \frac{176}{15}$

$F = \frac{1}{10}$

$G = \frac{47}{42}$

$H = \frac{17}{45}$

$I = 1$

$J = 0,5(3)$

Explicație pas cu pas:

$E = 12 - \frac{4}{15} = \frac{12*15 - 4}{15} = \frac{180-4}{15} = \frac{176}{15}$

Proba: $\frac{176}{15} + \frac{4}{15} = \frac{180}{15} = 12$

$F = \frac{1}{4} - \frac{3}{20} = \frac{5}{20} - \frac{3}{20} = \frac{2}{20} = \frac{1}{10}$

Proba: $\frac{1}{10} + \frac{3}{20} = \frac{2}{20} + \frac{3}{20} = \frac{5}{20} = \frac{1}{4}$

$G = \frac{5}{6} + \frac{2}{7} = \frac{5*7}{42} + \frac{2*6}{42} = \frac{35+12}{42} = \frac{47}{42}$

Proba: $\frac{47}{42} - \frac{2}{7} = \frac{47-12}{42} = \frac{35}{42} = \frac{5}{6}$

$H = -\frac{3}{5} + \frac{2}{9} = \frac{-3*9+2*5}{45} = \frac{-17}{45}$

Proba: $-\frac{17}{45} + \frac{3}{5} = \frac{-17+3*9}{45} = \frac{-17+27}{45} = \frac{10}{45} = \frac{2}{9}$

$I = 1,(12) - \frac{4}{33} = \frac{112-1}{99} - \frac{4}{33} = \frac{111}{99} - \frac{4}{33} = \frac{37}{33} - \frac{4}{33} = \frac{33}{33} = 1$

Proba: $1 + \frac{4}{33} = \frac{33+4}{33} = \frac{37}{33} = 1,(12)$

$J = 0,4 + 0,1(3) = \frac{4}{10} + \frac{13-1}{90} = \frac{2}{5} + \frac{12}{90} = \frac{2}{5} + \frac{6}{45} = \frac{2*9+6}{45} = \frac{24}{45} = 0,5(3)$

Proba: $0,5(3) - 0,1(3) = \frac{24}{45} - \frac{6}{45} = \frac{18}{45} = 0,4$

Answer 2

Răspuns:        

       

Explicație pas cu pas: