Question

[Rina Mayano]

Cho \(A=\dfrac{1,11+0,19-1,3.2}{2,06+0,54}-\left(\dfrac{1}{2}+\dfrac{1}{3}\right)\)\(:2\)

\(B=\left(5\dfrac{7}{8}-2\dfrac{1}{4}-0,5\right)\)\(:2\dfrac{23}{26}\)

a. Rút gọn A và B

b. Tìm x để A < x < B

Help me!

Answer 1

[Nguyễn Lê Phước Thịnh]

a: \(A=\dfrac{1.3-2.6}{2.6}-\dfrac{5}{6}:2=\dfrac{-1}{2}-\dfrac{5}{12}=\dfrac{-11}{12}\)

\(B=\left(\dfrac{47}{8}-\dfrac{9}{4}-\dfrac{1}{2}\right):\dfrac{75}{26}=\dfrac{47-18-4}{8}\cdot\dfrac{26}{75}=\dfrac{25}{75}\cdot\dfrac{26}{8}=\dfrac{13}{12}\)

b: Để A<x<B thì -11/12<x<13/12

mà x là số nguyên

nên \(x\in\left\{0;1\right\}\)