Question

Rút gọn bằng cách thay số bằng chữ

2\(\dfrac{1}{317}\).\(\dfrac{3}{111}-\dfrac{316}{317}.\dfrac{1}{111}-\dfrac{4}{317.111}\)

Answer 1

Đặt \(A=2\dfrac{1}{317}.\dfrac{3}{111}-\dfrac{316}{317}.\dfrac{1}{111}-\dfrac{4}{317.111}\)

\(=\left(2+\dfrac{1}{317}\right).\dfrac{3}{111}-\left(1-\dfrac{1}{317}\right).\dfrac{1}{111}-4.\dfrac{1}{317}.\dfrac{1}{111}\)

\(=6.\dfrac{1}{111}+3.\dfrac{1}{317}.\dfrac{1}{111}-\dfrac{1}{111}+\dfrac{1}{317}.\dfrac{1}{111}-4.\dfrac{1}{317}.\dfrac{1}{111}\)

Đặt \(a=\dfrac{1}{111};b=\dfrac{1}{317}\). Khi đó

\(A=6a+3ab-a+ab-4ab=5a=\dfrac{5}{111}\)

Vậy A=\(\dfrac{5}{111}\)