Question

[roronoa zoro]

a)\(\frac{93}{95}\)và \(\frac{91}{96}\)       

b)\(\frac{37}{40}\)và \(\frac{43}{46}\)

c)\(\frac{27}{55}\)và\(\frac{12}{23}\)

Answer 1

[Bui Huyen]

a)\(\frac{1}{95}>\frac{1}{96}\Rightarrow\frac{91}{95}>\frac{91}{96}\Rightarrow\frac{93}{95}>\frac{91}{95}>\frac{91}{96}\Rightarrow\frac{93}{95}>\frac{91}{96}\)

b)\(\frac{37}{40}=1-\frac{3}{40}\)\(\frac{43}{46}=1-\frac{3}{46}\)

\(\frac{1}{40}>\frac{1}{46}\Rightarrow\frac{-3}{40}< -\frac{3}{46}\Rightarrow1-\frac{3}{40}< 1-\frac{3}{46}\Rightarrow\frac{37}{40}< \frac{43}{46}\)

c)

\(\frac{27}{55}=\frac{54}{110}< \frac{55}{110}=\frac{1}{2}\)

\(\frac{12}{23}=\frac{24}{46}>\frac{23}{46}=\frac{1}{2}\)

Vậy \(\frac{27}{55}< \frac{1}{2}< \frac{12}{23}\Rightarrow\frac{27}{55}< \frac{12}{23}\)