Question

[Bùi Hoàng Bách]

 giúp mình bài 2 nhé

Answer 1

[Nguyễn Lê Phước Thịnh]

Bài 2:

a: \(\dfrac{12}{7}=\dfrac{12\cdot2}{7\cdot2}=\dfrac{24}{14};\dfrac{2}{2}=\dfrac{2\cdot7}{2\cdot7}=\dfrac{14}{14}\)

\(\dfrac{4}{7}=\dfrac{4\cdot2}{7\cdot2}=\dfrac{8}{14};\dfrac{9}{14}=\dfrac{9\cdot1}{14\cdot1}=\dfrac{9}{14}\)

mà \(\dfrac{24}{14}>\dfrac{14}{14}>\dfrac{9}{14}>\dfrac{8}{14}\)

nên \(\dfrac{12}{7}>\dfrac{2}{2}>\dfrac{9}{14}>\dfrac{4}{7}\)

b: \(\dfrac{2}{5}=\dfrac{2\cdot3}{5\cdot3}=\dfrac{6}{15};\dfrac{13}{15}=\dfrac{13\cdot1}{15\cdot1}=\dfrac{13}{15};\dfrac{19}{15}=\dfrac{19\cdot1}{15\cdot1}=\dfrac{19}{15}\)

\(\dfrac{2}{3}=\dfrac{2\cdot5}{3\cdot5}=\dfrac{10}{15}\)

mà \(\dfrac{19}{15}>\dfrac{13}{15}>\dfrac{10}{15}>\dfrac{6}{15}\)

nên \(\dfrac{19}{15}>\dfrac{13}{15}>\dfrac{2}{3}>\dfrac{2}{5}\)

c: \(\dfrac{2}{3}=\dfrac{2\cdot6}{3\cdot6}=\dfrac{12}{18};\dfrac{1}{2}=\dfrac{1\cdot9}{2\cdot9}=\dfrac{9}{18}\)

\(\dfrac{11}{18}=\dfrac{11}{18};\dfrac{5}{9}=\dfrac{5\cdot2}{9\cdot2}=\dfrac{10}{18}\)

mà \(\dfrac{12}{18}>\dfrac{11}{18}>\dfrac{10}{18}>\dfrac{9}{18}\)

nên \(\dfrac{2}{3}>\dfrac{11}{18}>\dfrac{5}{9}>\dfrac{1}{2}\)

d: \(\dfrac{1}{2}=\dfrac{1\cdot8}{2\cdot8}=\dfrac{8}{16};\dfrac{3}{8}=\dfrac{3\cdot2}{8\cdot2}=\dfrac{6}{16}\)

\(\dfrac{5}{4}=\dfrac{5\cdot4}{4\cdot4}=\dfrac{20}{16};\dfrac{7}{16}=\dfrac{7}{16}\)

mà \(\dfrac{20}{16}>\dfrac{8}{16}>\dfrac{7}{16}>\dfrac{6}{16}\)

nên \(\dfrac{5}{4}>\dfrac{1}{2}>\dfrac{7}{16}>\dfrac{3}{8}\)

e: \(\dfrac{13}{20}=\dfrac{13}{20};\dfrac{3}{5}=\dfrac{3\cdot4}{5\cdot4}=\dfrac{12}{20};\dfrac{7}{10}=\dfrac{7\cdot2}{10\cdot2}=\dfrac{14}{20}\)

\(\dfrac{1}{4}=\dfrac{1\cdot5}{4\cdot5}=\dfrac{5}{20}\)

mà \(\dfrac{14}{20}>\dfrac{13}{20}>\dfrac{12}{20}>\dfrac{5}{20}\)

nên  \(\dfrac{7}{10}>\dfrac{13}{20}>\dfrac{3}{5}>\dfrac{1}{4}\)

f: \(\dfrac{23}{28}=\dfrac{23\cdot1}{28\cdot1}=\dfrac{23}{28};\dfrac{9}{14}=\dfrac{9\cdot2}{14\cdot2}=\dfrac{18}{28}\)

\(\dfrac{3}{4}=\dfrac{3\cdot7}{4\cdot7}=\dfrac{21}{28};\dfrac{5}{7}=\dfrac{5\cdot4}{7\cdot4}=\dfrac{20}{28}\)

mà \(\dfrac{23}{28}>\dfrac{21}{28}>\dfrac{20}{28}>\dfrac{18}{28}\)

nên \(\dfrac{23}{28}>\dfrac{3}{4}>\dfrac{5}{7}>\dfrac{9}{14}\)

Answer 2

[Bùi Hoàng Bách]

dài thế