Question

[Vũ Huyền Trang]

không quy đồng hãy so sánh hai phân số sau:
2010/2011 và 2011/2012

Answer 1

[Phạm Minh Châu]

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

Ta có:

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

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

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

Answer 2

[Vũ Tuệ Lâm]

$\genfrac{}{}{0ex}{}{2010}{2011}$ và $\genfrac{}{}{0ex}{}{2011}{2012}$

Ta có:

$1-\genfrac{}{}{0ex}{}{2010}{2011}=\genfrac{}{}{0ex}{}{1}{2011}$

$1-\genfrac{}{}{0ex}{}{2011}{2012}=\genfrac{}{}{0ex}{}{1}{2012}$

Vì $\genfrac{}{}{0ex}{}{1}{2011}>\genfrac{}{}{0ex}{}{1}{2012}$ nên $\genfrac{}{}{0ex}{}{2010}{2011}<\genfrac{}{}{0ex}{}{2011}{2012}$