a) \(\frac{7}{5}>\frac{4}{5}\)(vì 7 > 4)
b) * Nếu \(\frac{a}{b}=1-M,\frac{c}{d}=1-N\)mà \(M>N\)thì \(\frac{a}{b}>\frac{c}{d}\)(phương pháp dùng số 1 làm trung gian)
Ta có : \(\frac{3}{4}=1-\frac{1}{4}\)
\(\frac{13}{14}=1-\frac{1}{14}\)
Mà \(\frac{1}{4}>\frac{1}{14}\)nên \(\frac{3}{4}< \frac{13}{14}\)
c) \(\frac{2016}{2017}=1-\frac{1}{2017}\)
\(\frac{2015}{2016}=1-\frac{1}{2016}\)
Mà \(\frac{1}{2017}>\frac{1}{2016}\)nên \(\frac{2016}{2017}< \frac{2015}{2016}\)
d) \(\frac{45}{51}=\frac{45\times70}{51\times70}=\frac{3150}{3570}\)
\(\frac{62}{70}=\frac{62\times51}{70\times51}=\frac{3162}{3570}\)
Vì 3150 < 3162 => 3150/3570 < 3162/3570 => 45/51 < 62/70