a) Ta có:
\(\dfrac{727272}{717171}=\dfrac{727272:10101}{717171:10101}=\dfrac{72}{71}=1+\dfrac{1}{71}\)
\(\dfrac{717171}{707070}=\dfrac{717171:10101}{707070:10101}=\dfrac{71}{70}=1+\dfrac{1}{70}\)
Mà: \(\dfrac{1}{70}< \dfrac{1}{71}\Rightarrow1+\dfrac{1}{70}< 1+\dfrac{1}{71}\)
Nên: \(\dfrac{717171}{707070}< \dfrac{727272}{717171}\)
b) Ta có:
\(\dfrac{3535\cdot232323}{353535\cdot2323}=\dfrac{35\cdot101\cdot23\cdot10101}{35\cdot10101\cdot23\cdot101}=\dfrac{35\cdot23}{35\cdot23}=1\)
\(\dfrac{3535}{3434}=\dfrac{35:101}{34:101}=\dfrac{35}{34}=1+\dfrac{1}{34}\)
Mà: \(1< 1+\dfrac{1}{34}\)
\(\Rightarrow\dfrac{3535\cdot232323}{353535\cdot2323}< \dfrac{3535}{3434}\)
a: 727272/717171=72/71=1+1/71
717171/707070=71/70=1+1/70
mà 1/71<1/70
nên 727272/717171<717171/707070
b: \(\dfrac{3535\cdot232323}{353535\cdot2323}=1< \dfrac{35}{34}=\dfrac{3535}{3434}\)
