Question

bài 6: chứng tỏ rằng: \(\frac{-13}{41}=\frac{-1313}{4141}=\frac{-131313}{414141}=\frac{-13131313}{41414141}\)

Answer 1

\(\frac{-1313}{4141}=\frac{-1313:101}{4141:101}=\frac{-13}{41}\)

\(\frac{-131313}{414141}=\frac{-131313:10101}{414141:10101}=\frac{-13}{41}\)

\(\frac{-13131313}{41414141}=\frac{-13131313:1010101}{41414141:1010101}=\frac{-13}{41}\)

Vậy ta được đpcm.

Answer 2

Ta có: \(\frac{-13}{41}=\frac{-13\cdot101}{41\cdot101}=\frac{-13\cdot10101}{41\cdot10101}=\frac{-13\cdot1010101}{41\cdot1010101}\)(tính chất cơ bản của phân số)

hay \(\frac{-13}{41}=\frac{-1313}{4141}=\frac{-131313}{414141}=\frac{-13131313}{41414141}\)(đpcm)