5/6 = 15/18
8/9 = 16/18
16/18 > 15/18
=> 5/6 < 8/9
\(\dfrac{5}{6}và\dfrac{8}{9}\)
\(\dfrac{5}{6}=\dfrac{5\times3}{6\times3}=\dfrac{15}{18}\)
\(\dfrac{8}{9}=\dfrac{8\times2}{9\times2}=\dfrac{16}{18}\)
\(\dfrac{15}{18}< \dfrac{16}{18}\) hay \(\dfrac{5}{6}< \dfrac{8}{9}\)
\(MSC:18\\ \dfrac{5}{6}=\dfrac{5\times3}{6\times3}=\dfrac{15}{18};\dfrac{8}{9}=\dfrac{8\times2}{9\times2}=\dfrac{16}{18}\\ 15< 16\\ \Rightarrow\dfrac{5}{6}< \dfrac{8}{9}\)
\(\dfrac{5}{6}=\)\(\dfrac{5.3}{6.3}=\dfrac{15}{18}\)
\(\dfrac{8}{9}=\dfrac{8.2}{9.2}=\dfrac{16}{18}\)
Vì 15<16 nên \(\dfrac{15}{18}< \dfrac{16}{18}\)
5/6= 15/18; 8/9=16/18( mẫu số chung là 18)
15/18<16/18 suy ra 5/6<8/9
của pẹn đây
Ta có :\(\dfrac{5}{6}=\dfrac{15}{18}\)
\(\dfrac{8}{9}=\dfrac{16}{18}\)
=>\(\dfrac{15}{18}< \dfrac{16}{18}\)hay\(\dfrac{5}{6}< \dfrac{8}{9}\)
Quy đồng: \(\left\{{}\begin{matrix}\dfrac{5}{6}=\dfrac{5.9}{6.9}=\dfrac{45}{54}\\\dfrac{8}{9}=\dfrac{8.6}{9.6}=\dfrac{48}{54}\end{matrix}\right.\)
Vì \(\dfrac{45}{54}< \dfrac{48}{54}\)
\(\Rightarrow\dfrac{5}{6}< \dfrac{8}{9}\)