Ta có \(\frac{150150150150}{160160160160}=\frac{150150150150:1001001001}{160160160160:1001001001}=\frac{150}{160}=\frac{15}{16}\)
\(\frac{14141414}{15151515}=\frac{14141414:1010101}{15151515:1010101}=\frac{14}{15}\)
Vì \(\frac{15}{16}>\frac{14}{15}=>\frac{150150150150}{160160160160}>\frac{14141414}{15151515}\)
\(\frac{150150150150}{160160160160}=\frac{150.1010101}{160.1010101}=\frac{150}{160}=\frac{15}{16}\)
Ta có:
\(1-\frac{15}{16}=\frac{1}{16}\)
\(1-\frac{14}{15}=\frac{1}{15}\)
\(\frac{1}{16}< \frac{1}{15}\)
\(\Rightarrow\frac{15}{16}>\frac{14}{15}\)
\(\Rightarrow\frac{150150150150}{160160160160}>\frac{14}{15}\)
