a) $\frac{2323}{2929}=\frac{2323:101}{2929:101}=\frac{23}{29}$
$\frac{232323}{292929}=\frac{232323:10101}{292929:10101}=\frac{23}{29}$
Vậy $\frac{23}{29}=\frac{2323}{2929}=\frac{232323}{292929}$.
b) $\frac{9909}{8808}=\frac{9909:1101}{8808:1101}=\frac{9}{8}$
$\frac{29727}{26424}=\frac{292727:3303}{26424:3303}=\frac{9}{8}$
$\frac{39636}{35232}=\frac{39636:4404}{35232:4404}=\frac{9}{8}$
Vậy $\frac{9909}{8808}=\frac{29727}{26424}=\frac{39636}{35232}$.
c) $\frac{1717}{2929}=\frac{1717:101}{2929:101}=\frac{17}{29}$
$\frac{171717}{292929}=\frac{171717:10101}{292929:10101}=\frac{17}{29}$
Vậy $\frac{1717}{2929}=\frac{171717}{292929}$.
d) $\frac{abab}{cdcd}=\frac{ab.100+ab}{cd.100+cd}=\frac{ab.101}{cd.101}=\frac{ab}{cd}$
$\frac{ababab}{cdcdcd}=\frac{ab.10000+ab.100+ab}{cd.10000+cd.100+cd}=\frac{ab.10101}{cd.10101}=\frac{ab}{cd}$
Vậy $\frac{abab}{cdcd}=\frac{ababab}{cdcdcd}$.
