Question

tim 2 phan so co tu la 9 biet gia tri moi phan so do lon hon -11/13 va nho hon -11/15

Answer 1

Gọi \(\dfrac{9}{x}< \dfrac{9}{y}\left(x>y;x\&y\inℤ\right)\) là 2 phân số cần tìm

Theo đề bài ta có :

\(-\dfrac{11}{13}< \dfrac{9}{x}< \dfrac{9}{y}< -\dfrac{11}{15}\left(x>y\right)\)

\(\Rightarrow-\dfrac{15}{11}< \dfrac{y}{9}< \dfrac{x}{9}< -\dfrac{13}{11}\)

\(\Rightarrow-\dfrac{135}{99}< \dfrac{11x}{99}< \dfrac{11y}{99}< -\dfrac{117}{99}\)

\(\Rightarrow-135< 11x< 11y< -117\)

\(\Rightarrow\left(x;y\right)\in\left\{\left(-12;-11\right)\right\}\)

Vậy 2 phân số đó là \(\left(x;y\right)=\left(-\dfrac{9}{12};-\dfrac{9}{11}\right)\)