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Simplificati fractia [tex] \frac{aabb + bbaa}{abab} [/tex]

Răspuns :

sper sa te descurci cu figura anexata
evident ca 10*a+b= ab cu bara
Vezi imaginea OVDUMI
Salut,

[tex]\dfrac{\overline{aabb}+\overline{bbaa}}{\overline{abab}}=\dfrac{1000a+100a+10b+b+1000b+100b+10a+a}{1000a+100b+10a+b}=\\\\=\dfrac{1111a+1111b}{1010a+101b}=\dfrac{1111(a+b)}{101(10a+b)}=\dfrac{11(a+b)}{10a+b}=\dfrac{10a+b+10b+a}{10a+b}=\\\\=\dfrac{\overline{ab}+\overline{ba}}{\overline{ab}}=1+\dfrac{\overline{ba}}{\overline{ab}}[/tex]

Green eyes.