Question

\(k=2\dfrac{1}{3179}.\dfrac{3}{1111}-\dfrac{3178}{3179}.\dfrac{1}{1111}-\dfrac{4}{3179.1111}\)
rút gọn bằng cách thay số bằng chữ

Answer 1

Đặt 3179=a; 1111=b

\(K=2\dfrac{1}{a}\cdot\dfrac{3}{b}-\dfrac{a-1}{a}\cdot\dfrac{1}{b}-\dfrac{4}{a\cdot b}\)

\(=\dfrac{2a+1}{a}\cdot\dfrac{3}{b}-\dfrac{a-1}{ab}-\dfrac{4}{ab}\)

\(=\dfrac{6a+3-a+1-4}{ab}\)

\(=\dfrac{4a}{ab}=\dfrac{4}{b}=\dfrac{4}{1111}\)