👤

Cum se transforma 13 supra 9 si 137 supra 45 in fractiu zecimale periodice?

Răspuns :

[tex] \frac{13}{9}=1.(4) [/tex]
[tex]1.(4)= \frac{144-1}{99}= (\frac{143}{99}):11= \frac{13}{9} [/tex]

[tex] \frac{137}{45}=3.0(4)[/tex]
[tex]3.0(4)= \frac{304-30}{90}= (\frac{274}{90}):2= \frac{137}{45} [/tex]