Question

So sánh các phân số sau:

a)

b)

Answer 1

a)Quy đồng: \(\frac{5}{8}=\frac{5.3}{8.3}=\frac{15}{24}\)

Vì \(\frac{5}{24}< \frac{10+5}{24}=\frac{15}{24}\)

\(\Rightarrow\frac{5}{24}< \frac{5+10}{24}=\frac{5}{8}\)

b) Quy đồng:

\(\frac{4}{9}=\frac{4.6}{9.6}=\frac{24}{9.6}\)

\(\frac{2}{3}=\frac{2.18}{3.18}=\frac{36}{9.6}\)

Vì \(\frac{36}{9.6}>\frac{24}{9.6}>\frac{6+9}{9.6}\)

\(\Rightarrow\frac{2}{3}>\frac{4}{9}>\frac{6+9}{6.9}\)