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determinați toate fractiile de forma xy pe abc echivalente cu fractia 3 pe 8

Răspuns :

[tex] \frac{xy}{abc} = \frac{3}{8} [/tex]

[tex]=\ \textgreater \ xy=3;x=1,y=3,sau,x=3,y=1[/tex]
[tex]sau,x=(-1),y=(-3),sau,x=(-3),y=(-1)[/tex]

[tex]Si,abc=8=\ \textgreater \ a=1,b=1,c=8;sau,a=1,b=2,c=4,etc[/tex]
[tex]\it \dfrac{\overline{xy}}{\overline{abc}} \in\left\{\dfrac{39}{104},\ \dfrac{42}{112}, \dfrac{45}{120},\ ...\ ,\ \dfrac{99}{264}\right\}[/tex]