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Aflati numarul cu 7 supra 22 mai mare decat 1,(18)

Răspuns :

Explicație pas cu pas:

[tex] \frac{7}{22} + \frac{118 - 1}{99} = \frac{7}{22} + \frac{117}{99} = \frac{7}{22} + \frac{26}{22} = \frac{33}{22} = \frac{3}{2} [/tex]

[tex]\it 1,(18)=1\dfrac{\ \ 18^{(9}}{99}=1\dfrac{2}{11}=\dfrac{^{2)}13}{\ 11}=\dfrac{26}{22}\\ \\ \\ Reformul\breve am\ problema:\\ \\ x > \dfrac{26}{22}\ cu\ \dfrac{7}{22} \Rightarrow x=\dfrac{26}{22}+\dfrac{7}{22} \Rightarrow x=\dfrac{\ \ 33^{(11}}{22} \Rightarrow x=\dfrac{3}{2}[/tex]