Question

so sánh phân số sau:

a) \(\frac{5}{24}\), \(\frac{5+10}{24}\), \(\frac{5}{8}\)

b) \(\frac{4}{9}\), \(\frac{6+9}{6.9}\), \(\frac{2}{3}\)

Answer 1

a, Ta có : \(\frac{5+10}{24}=\frac{15}{24}\)

\(\frac{5}{8}=\frac{5.3}{8.3}=\frac{15}{24}\)

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

b,Ta có : \(\frac{4}{9}=\frac{4.6}{9.6}=\frac{24}{54}\)

\(\frac{6+9}{6.9}=\frac{15}{54}\)

\(\frac{2}{3}=\frac{2.18}{3.18}=\frac{36}{54}\)

\(\Rightarrow\frac{15}{54}< \frac{24}{54}< \frac{36}{54}\)

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

Answer 2

a) \(\frac{5+10}{24}=\frac{15}{24}\); \(\frac{5}{8}=\frac{5.3}{8.3}=\frac{15}{24}\)

\(\Rightarrow\frac{5}{24}< \frac{15}{24};\frac{5+10}{24}=\frac{5}{8}\)

b) \(\frac{6+9}{6.9}=\frac{15}{54}\); \(\frac{4}{9}=\frac{24}{54};\frac{2}{3}=\frac{36}{54}\)

\(\Rightarrow\frac{15}{54}< \frac{24}{54}< \frac{36}{54}\)\(\Rightarrow\frac{6+9}{6.9}< \frac{4}{9}< \frac{2}{3}\)