Question

[jksadsas]

Bài 1:

a) A=\(\dfrac{\dfrac{3}{4}-\dfrac{3}{11}+\dfrac{3}{13}}{\dfrac{5}{7}-\dfrac{5}{11}+\dfrac{5}{13}}\) + \(\dfrac{\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{4}}{\dfrac{5}{4}-\dfrac{5}{6}+\dfrac{5}{8}}\)

b) Cho 3 số x, y, z là 3 số khác 0 thoả mãn điều kiện: \(\dfrac{y+z-x}{x}\) = \(\dfrac{z+x-y}{y}\) = \(\dfrac{x+y-z}{z}\)

Hãy tính giá trị biểu thức: B=(1+\(\dfrac{x}{y}\)) (1+\(\dfrac{y}{z}\)) (1+\(\dfrac{z}{x}\))

Answer 1

[Nguyễn Thành Trương]

\(a,A=\dfrac{\dfrac{3}{4}-\dfrac{3}{11}+\dfrac{3}{13}}{\dfrac{5}{7}-\dfrac{5}{11}+\dfrac{5}{13}}+\dfrac{\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{4}}{\dfrac{5}{4}-\dfrac{5}{6}+\dfrac{5}{8}}\\ A=\dfrac{\dfrac{405}{572}}{\dfrac{645}{1001}}+\dfrac{\dfrac{5}{12}}{\dfrac{25}{24}}\\ A=\dfrac{189}{172}+\dfrac{2}{5}\\ A=\dfrac{1289}{860}\)