Question

Answer 1

-Theo đề: \(\dfrac{a}{b}=1\dfrac{1}{4}=\dfrac{5}{4};a-b=11;c-b=16\)

\(\Rightarrow a=\dfrac{5}{4}b\Rightarrow\dfrac{5}{4}b-b=11\Rightarrow\dfrac{1}{4}b=11\Rightarrow b=44\)

\(\Rightarrow a-44=11\Rightarrow a=55\)

\(\Rightarrow c-44=16\Rightarrow c=60\)

\(\Rightarrow\dfrac{b}{c}=\dfrac{44}{60}=\dfrac{11}{15};\dfrac{c}{a}=\dfrac{60}{55}=\dfrac{12}{11}=\dfrac{12.4}{11.4}=\dfrac{48}{44}\)

\(\dfrac{a}{b}=\dfrac{5}{4}=\dfrac{5.11}{4.11}=\dfrac{55}{44}>\dfrac{48}{44}=\dfrac{c}{a}\)

\(\dfrac{b}{c}< \dfrac{c}{a}< \dfrac{a}{b}\left(\dfrac{11}{15}< 1< \dfrac{48}{44}< \dfrac{55}{44}\right)\)