Question

So sánh
b. 7/8...4/5        c. 5/8...7/16      d. 0.37...5/16

e. 3/5...5/7        f. 0.54...6/11     g. 4/9...3/7

h. 0.114...1/9 

Answer 1

b: \(\dfrac{7}{8}=\dfrac{7\cdot5}{8\cdot5}=\dfrac{35}{40};\dfrac{4}{5}=\dfrac{4\cdot8}{5\cdot8}=\dfrac{32}{40}\)

35>32

=>\(\dfrac{35}{40}>\dfrac{32}{40}\)

=>\(\dfrac{7}{8}>\dfrac{4}{5}\)

c: \(\dfrac{5}{8}=\dfrac{5\cdot2}{8\cdot2}=\dfrac{10}{16}>\dfrac{7}{16}\)

d: \(\dfrac{5}{16}=0,3125< 0,37\)

e: \(\dfrac{3}{5}=\dfrac{3\cdot7}{5\cdot7}=\dfrac{21}{35};\dfrac{5}{7}=\dfrac{5\cdot5}{7\cdot5}=\dfrac{25}{31}\)

21<25

=>\(\dfrac{21}{35}< \dfrac{25}{35}\)

=>\(\dfrac{3}{5}< \dfrac{5}{7}\)

f: \(\dfrac{6}{11}=0,\left(54\right)=0,5454...>0,54\)

g: \(\dfrac{4}{9}=\dfrac{4\cdot7}{9\cdot7}=\dfrac{28}{63};\dfrac{3}{7}=\dfrac{3\cdot9}{7\cdot9}=\dfrac{27}{63}\)

28>27

=>\(\dfrac{28}{63}>\dfrac{27}{63}\)

=>\(\dfrac{4}{9}>\dfrac{3}{7}\)

h: \(\dfrac{1}{9}=0,\left(1\right)=0,1111...< 0,114...\)