Question

Không quy đồng hãy so sánh 2 phân số :

\(\frac{2010}{2011}\)và \(\frac{2011}{2012}\)

Answer 1

#)Giải :

Ta có : \(1-\frac{2010}{2011}=\frac{1}{2011}\)

            \(1-\frac{2011}{2012}=\frac{1}{2012}\)

Vì \(\frac{1}{2011}>\frac{1}{2012}\Rightarrow\frac{2010}{2011}>\frac{2011}{2012}\)

Answer 2

\(\frac{2010}{2011}=1-\frac{1}{2011}\)

\(\frac{2011}{2012}=1-\frac{1}{2012}\)

\(2011\)<\(2012\)\(\Rightarrow\frac{1}{2011}\)>\(\frac{1}{2012}\)

\(\Rightarrow\frac{2010}{2011}\)<\(\frac{2011}{2012}\)

Answer 3

\(\frac{2010}{2011}=\frac{2011-1}{2011}=1-\frac{1}{2011}\)

\(\frac{2011}{2012}=\frac{2012-1}{2012}=1-\frac{1}{2012}\)

vì \(\frac{1}{2011}>\frac{1}{2012}\)nên \(\frac{2010}{2011}< \frac{2011}{2012}\)

Answer 4

Ta so sánh rằng \(\frac{2010}{2011}< 1\)và \(\frac{2011}{2012}< 1\). Vậy là cả hai phân số đều bé hơn 1. 

Ta sẽ lấy \(1-\frac{2010}{2011}=\frac{1}{2011}\)và \(1-\frac{2011}{2012}=\frac{1}{2012}\).

=> \(\frac{2010}{2011}=1-\frac{1}{2011}\)và \(\frac{2011}{2012}=1-\frac{1}{2012}\).

Vậy vì \(\frac{1}{2011}>\frac{1}{2012}\)nên \(\frac{2010}{2011}>\frac{2011}{2012}\).

~ Hok tốt ~