\(\frac{17171718}{19191919}>\frac{17171717}{19191919}=\frac{17.1010101}{19.1010101}=\frac{17}{19}\)
=>\(\frac{17}{19}< \frac{17171718}{19191919}\)\
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Ta có: \(\frac{17171718}{19191919}=\frac{17171717}{19191919}+\frac{1}{19191919}=\frac{17}{19}+\frac{1}{19191919}\)
Vì \(\frac{17}{19}< \frac{17}{19}+\frac{1}{19191919}\)nên \(\frac{17}{19}< \frac{17171718}{19191919}\)
Có : \(\frac{17}{19}=\frac{17.1010101}{19.1010101}=\frac{17171717}{19191919}\)
Vì : 17171717 < 17171718 nên \(\frac{17171717}{19191919}< \frac{17171718}{19191919}\)
Hay : \(\frac{17}{19}< \frac{17171718}{19191919}\)
Ta có :
\(\frac{17}{19}=\frac{17\times1010101}{19\times1010101}=\frac{17171717}{19191919}\)
Vì \(\frac{17171717}{19191919}< \frac{17171718}{19191919}\) (do có : \(17171717< 17171718\)) \(\Rightarrow\:\frac{17}{19}< \frac{17171718}{19191919}\)
Vậy \(\frac{17}{19}< \frac{17171718}{19191919}\).
\(\text{Bài giải}\)
\(\text{Ta có : }\frac{17}{19}=\frac{17\cdot1010101}{19\cdot1010101}=\frac{17171717}{19191919}< \frac{17171718}{19191919}\)
\(\Rightarrow\text{ }\frac{17}{19}< \frac{17171718}{19191919}\)
\(\text{^_^}\)
Ta có : \(\frac{17}{19}vs\frac{171717}{191919}\)
\(\frac{171717}{191919}=\frac{17.10101}{19.10101}=\frac{17}{19}\)
Vậy \(\frac{171717}{191919}=\frac{17}{19}\)
ta có : \(\frac{17171717}{19191919}\)=\(\frac{17\cdot1010101}{19\cdot1010101}\)=\(\frac{17}{19}\)
vì 17171717<17171718 nên \(\frac{17171717}{19191919}\)<\(\frac{17171718}{19191919}\)
hay \(\frac{17}{19}\)<\(\frac{17171718}{19191919}\)
vậy \(\frac{17}{19}\)<\(\frac{17171718}{19191919}\)
chúc bạn học tốt!