Question

[Hoang Viet Anh]

quy dong mau cac phan so sau

a 7/5 va 4/5

b 3/4 va 13/14

c 2016/2017 va 2015/2016

d 45/51 va 62/70

Answer 1

[Huỳnh Quang Sang]

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