Question

\(F=5\dfrac{6}{4453}.\dfrac{1}{1997}-\dfrac{2}{1997}.2\dfrac{3}{4453}\)
rút gọn bằng cách thay số bằng chữ

Answer 1

Đặt a=4453, b=1997

Ta có: \(F=5\dfrac{6}{a}\cdot\dfrac{1}{b}-\dfrac{2}{b}\cdot2\dfrac{3}{a}\)

\(=\dfrac{5a+6}{a}\cdot\dfrac{1}{b}-\dfrac{2}{b}\cdot\dfrac{2a+3}{a}\)+

\(=\dfrac{5a+6-4a-6}{ab}\)

\(=\dfrac{1}{b}\)

\(=\dfrac{1}{1997}\)