Question

so sánh: \(\dfrac{13}{38}và\dfrac{-12}{-37}\)

Answer 1

ta có: \(\dfrac{13}{38}\)=\(\dfrac{481}{1406}\)

\(^{\dfrac{-12}{-37}}\)=\(\dfrac{12}{37}\)=\(\dfrac{456}{1406}\)

vì \(\dfrac{481}{1406}\)>\(\dfrac{456}{1406}\)

\(\Rightarrow\dfrac{13}{38}>\dfrac{-12}{-37}\)

Answer 2

\(\dfrac{-12}{-37}=\dfrac{12}{37}\)

\(\left\{{}\begin{matrix}1-\dfrac{13}{38}=\dfrac{25}{38}\\1-\dfrac{12}{37}=\dfrac{25}{37}\end{matrix}\right.\)

Vì \(\dfrac{25}{38}< \dfrac{25}{37}\Rightarrow\dfrac{13}{38}>\dfrac{12}{37}\)

\(\Leftrightarrow\dfrac{13}{38}>\dfrac{-12}{-37}\)