Ta có: \(\frac{2012}{2011}=1-\frac{1}{2011}\)

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

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

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

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

a) \(1=\frac{45}{46}+\frac{1}{46}\)

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

Vì \(\frac{1}{46}>\frac{1}{2012}\)\(\Rightarrow\)\(\frac{45}{46}< \frac{2011}{2012}\)

b)Vì 2010/2011 < 1 và 17/16 > 1 => 2010/2011 < 17/16

\(\dfrac{2011}{2010}< \dfrac{2011+1}{2010+1}=\dfrac{2012}{2011}\)

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

\(\dfrac{2012}{2011}và\dfrac{2011}{2010}\\ \dfrac{2012}{2011}-1=\dfrac{1}{2011}\\ \dfrac{2011}{2010}-1=\dfrac{1}{2010}\\ \)

Vì \(\dfrac{1}{2011}< \dfrac{1}{2010}\\ \Rightarrow\dfrac{2012}{2011}< \dfrac{2011}{2010}\)

a,

\(\frac{45}{46}>\frac{2011}{2012}\)

b,

\(\frac{2010}{2011}< \frac{17}{16}\)

Hok tốt!

\(a,\frac{45}{46}\)và \(\frac{2011}{2012}\)

Ta có: \(1-\frac{45}{46}=\frac{1}{46};1-\frac{2011}{2012}=\frac{1}{2012}\)

\(\frac{1}{46}>\frac{1}{2012}\Rightarrow\frac{45}{46}>\frac{2011}{2012}\)

\(b,\frac{2010}{2011}\)và \(\frac{17}{16}\)

Ta có: \(\frac{2010}{2011}< 1;\frac{17}{16}>1\Rightarrow\frac{2010}{2011}< \frac{17}{16}\)

a=b

l-i-k-e cho mình nha

a=b                                               

kết quả là 4  tớ không giải ra vì nó rất phức tạp

Lấy 1 - trừ từng phân số nha

mk ko muốn viết lời giải nhưng mk nói luôn kết quả là 2 phép tính bằng nhau

Ta có :

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

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

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