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Cunoscand a\b=0,(27) calculati suma 1+3b-11a

Răspuns :

[tex] \frac{a}{b} = \frac{27}{99} [/tex]
a=99
b=27

1+3*27-11*99=1+81-99=-17
[tex]\dfrac{a}{b} = 0,(27) \Rightarrow \dfrac{a}{b}=\dfrac{27}{99} \Rightarrow \dfrac{a}{b}=\dfrac{3}{11} \Rightarrow 11a = 3b \Rightarrow 3b-11a =0\\\;\\ Deci,\ \ 1+3b-11a =1+0 = 1.[/tex]