Question

Chứng minh rằng :

abcabc : abc = 1001

Answer 1

ví dụ :123123:123

Answer 2

Ta có:

\(\overline{abcabc}=\overline{abc}.1000+\overline{abc}\)

\(\Rightarrow\overline{abcabc}=\overline{abc}.\left(1000+1\right)\)

\(\Rightarrow\overline{abcabc}=\overline{abc}.\left(1001\right)\)

\(\Rightarrow\overline{abcabc}:\overline{abc}=\overline{abc}.\left(1001\right):\overline{abc}\)

\(\RightarrowĐPCM\)

hok tốt